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"The essence of mathematics lies in its freedom"

Georg Cantor

Laura Baldelli

laura.baldelli@kit.edu

PostDoc at the Karlsruhe Institute of Technology (KIT)
Institute for Analysis
Englerstraße 2, 76131, Karlsruhe, Germany

ORCID ID: 0000-0001-7647-8244

Education

  • 11/2018 - 10/2021
    Phd in Mathematics, Informatics, Statistics at the University of Firenze, Italy, “in consortium” with the University of Perugia and INdAM (XXXIV Cycle), supervisor Prof. Filippucci. Dissertation on 22/3/2022. Thesis title: Existence and multiplicity results for nonlinear elliptic problems.
  • 10/2016 - 26/10/2018
    Master's Degree in Mathematics at the University of Perugia, Italy, with the grade 110/110 cum laude, supervisor Prof. Filippucci. Thesis title: Existence of solutions for quasilinear problems with gradient terms.
  • 10/2013 - 29/09/2016
    Bachelor's Degree in Mathematics at the University of Perugia, Italy, with the grade 110/110 cum laude, supervisor Prof. Filippucci. Thesis title: Complementi sulla convergenza uniforme delle serie di Fourier (Complements on the uniform convergence of Fouries series).
  • 09/2008 - 07/2013
    Graduated at the Liceo Scientifico “G. Alessi” in Perugia, Italy, with the grade 100/100.

Employment

  • 1/10/2025 - 30/9/2027
    PostDoc at the Karlsruhe Institute of Technology, Institute for Analysis, Karlsruhe, Germany, in the group of Prof. W. Reichel.
  • 1/11/2023 - 30/9/2025
    IMAG 2023 Postdoctoral Contract in “Modelling and Differential Equations”, supported by the IMAG “María de Maeztu” Excellence Seal, Institute of Mathematics, University of Granada. Research activity carried out within the IMAG research line “Modelling and Differential Equations”, in the group of Prof. D. Ruiz.
  • 1/5/2022 - 31/10/2023
    Assistant Professor at the Department of Differential Equations, Mathematical Institute of the Polish Academy of Sciences, Warsaw, Poland. Research activity within the National Science Centre (NCN) OPUS 19 project: “Analysis of travelling waves in semilinear elliptic problems”, in the group of Prof. J. Mederski.

Achievements

  • Scholarship from Istituto Nazionale di Alta Matematica (INdAM) at the competition for 22 scholarships for students attending the 1st year Degree in Mathematics in any Italian University during the a.y. 2013/2014. Renewal for the 2nd and 3rd year according to the guidelines (passing all the exams of a.y. 2014/2015, with the mean over 27/30 and no grade under 24/30).
  • Reward “Atleta Eccellente, Eccellente Studente” with “Menzione d’onore” from the Commissione Nazionale Atleti CONI for athletes in the National Team in the year 2018 getting a Master Degree in the same year.
  • Italian National Scientific Habilitation to Associate Professorship (scientific disciplinary sector: 01/A3 -Mathematical Analysis, Probability and Mathematical Statistics), 29/10/2025.

Invited talks

  • 1-7/05/2022
    "Recent trends in nonlinear and dispersive equations: equilibria, stability, dynamics”, Będlewo Conference Center, Poland.
    Talk: "Singular quasilinear critical Schrödinger equations in R^N".
  • 11-15/07/2022
    "Equadiff 15", Masaryk University, Brno, Czech Republic.
    Talk in a minisymposium: "Nonlinear elliptic critical problems in R^N".
  • 24-29/07/2022
    "Topics in variational problems arising from models in physics", Będlewo Conference Center, Poland.
    Talk: "Singular quasilinear critical Schrödinger equations in R^N".
  • 25-28/7/2023
    “Young Researchers in Functional Analysis and Mathematical Physics - YRFAMP'23“, University of Évora, Portugal.
    Talk: “A class of generalized quasilinear elliptic equations with critical nonlinearities in R^N”.
  • 14-16/9/2023
    “VIII weekend on Variational Methods and Differential Equations “,     University of Catania, Italy.
    Talk: “Positive radial solutions of a quasilinear Dirichlet problem with diffusion”.
  • 20-21/03/2024
    “I ENCUENTRO IMAG”, University of Granada, Spain.
    Talk: “Shades of Liouville-type theorems”.
  • 20-24/5/2024
    “International Conference on Elliptic and Parabolic Problems: GAETA 2024”, Gaeta, Italy.
    Talk in a minisymposium: “A p-Laplacian problem in R^N with singular, convective, critical reaction”.
  • 17-21/06/2024
    “VIII Symposium on Nonlinear Analysis”, University of Torun, Poland.
    Talk in a special session: “Prescribed mass in the Born-Infeld problem and in a class of (2,q)-Laplacian equation”.
  • 24-28/06/2024
    “XXVIII Congreso de Ecuaciones Diferenciales y Aplicaciones/ XVIII Congreso de Matemática Aplicada (CEDYA/CMA)”, University of Bilbao, Spain.
    Talk in a special session: “A priori estimates for quasilinear elliptic systems”.
  • 15-19/07/2024 
    “9th European Congress of Mathematics (9ECM)”, University of Seville, Spain.
    Talk in a special session: “Existence of solutions with prescribed norm for the Born-Infeld problem and a class of (2,q)-Laplacian equation”.
  • 23-25/07/2024
    “Young Researchers in Functional Analysis and Mathematical Physics'24“, University of Madeira, Portugal.
    Talk: “The Dirichlet p-Laplacian in tubes”.
  • 25-27/09/2024
    "Young Researchers Meeting on PDEs", University of Milano-Bicocca, Italy.
    Talk: "A quasilinear problem with a serious lack of compactness".
  • 16-20/12/2024
    "The 14th AIMS Conference", Abu Dhabi, UAE.
    Talk in a special session: "Normalized solutions to the Born-Infeld and related problems".
  • 13-17/01/2025
    "VII Congreso de Jóvenes Investigadores de la RSME", University of Bilbao, Spain.
    Talk in a parallel session: "Traveling waves for nonlinear Schrödinger. equations".
  • 13-17/01/2025
    "VII Congreso de Jóvenes Investigadores de la RSME", University of Bilbao, Spain.
    Talk in a parallel session: "On curved nonlinear waveguides".
  • 23/01/2025
    "If on a winter's day a PDE", Riemann International School of Mathematics RISM, Italy.
    Talk: "A priori estimates for quasilinear elliptic problems".
  • 27-31/01/2025
    "Workshop for young researchers in PDEs", University of Warsaw, Poland.
    Talk: "A Doubling Lemma for pointwise a priori estimates in elliptic problems with gradient terms".
  • 9-11/07/2025
    “Young Researchers in Functional Analysis and Mathematical Physics'24“, University of Aveiro, Portugal.
    Talk: "Perturbations of Schrödinger Operators by Electric and Magnetic Fields".
  • 2-5/09/2025
    “Recent advances and challenges in partial differential equations”, Mathematical Institute of the Polish Academy of Sciences  IMPAN, Warsaw, Poland.
    Talk: "Schrödinger equations with electromagnetic fields".
  • 23-24/10/2025
    “Women in PDEs @ Karlsruhe”, Karlsruhe Institute of Technology KIT, Karlsruhe, Germany.
    Talk: "Qualitative analysis of doubly critical Hardy-Sobolev p-Laplace systems".
  • 25-29/5/2026
    “International Conference on Elliptic and Parabolic Problems: GAETA 2026”, Gaeta, Italy. 
    Talk in a minisymposium: “A Grushin problem in R^N with singular, convective, critical reaction”.
  • 2/7/2026
    "GeoPDEs Meeting", IMAG, University of Granada.
    Talk: On the radial symmetry of positive solutions to doubly critical p-Laplacian systems.
  • 23-24/7/2026
    "PostDoc Days", Karlsruhe Institute of Technology KIT, Germany. 
    Talk: A data-driven approach for a population growth model.
  • 23-27/11/2026
    "Structural and Geometry Features of PDE & Systems", Będlewo Conference Center, Poland. (planned)
    Talk: On the existence of normalized solutions for (2,q)-Laplacian equations between mass-critical     exponents.

Invited talks at universities or research centers

  • 27/01/2021
    Cycle of seminars “Insalate di Matematica”, University of Milano Bicocca, Italy, online.
    Talk: “Liouville Theorems: developments and applications”.
  • 24/01/2023
    Cycle of seminars "Methods of Algebra and Functional analysis in Applications", working group at the Czech Technical University in Prague, invited by Prof. Krejcirik, Czech Republic.
    Talk: “Infinitely many solutions to generalized quasilinear critical Schrödinger equations in R^N”. 
  • 20/3/2023
    IMPAN Differential Equations Seminar, Mathematical Institute of the Polish Academy of Sciences IMPAN, Warsaw, Poland.
    Talk: “Normalized solutions to a class of (2, q)-Laplacian equations”.
  • 20/6/2023
    “Workgroup Nonlinear Partial Differential Equations” at the Karlsruhe Institute of Technology KIT, invited by Dr. Henninger, Karlsruhe, Germany, online.
    Talk: “Infinitely many solutions to generalized quasilinear critical Schrödinger equations in R^N”.
  • 16/10/2023
    IMPAN Variational methods and PDEs Seminar, Mathematical Institute of the Polish Academy of Sciences IMPAN, Warsaw, Poland.
    Talk: “Existence results for nonlinear elliptic equations with degenerate coercivity via blow-up”.
  • 14/03/2024
    “Seminario de Ecuaciones Diferenciales”, University of Granada, Spain.
    Talk: “Normalized solutions to the Born-Infeld problem and a class of (2, q)-Laplacian equations”.
  • 30/05/2025
    “PDE Seminar”, invited by Prof.s Fernández Sánchez and García-Ferrero, at UAM - ICMAT, Madrid, Spain.
    Talk: "Nonlinear Schrödinger equations in the presence of electromagnetic fields".
  • 18/12/2025
    "Seminari del Dipartimento di Matematica", invited by Dr. Ciani, University of Bologna, Italy.
    Talk: "Qualitative analysis of solutions to doubly critical Hardy-Sobolev p-Laplace systems".
  • 15/1/2026
    Cycle of seminars "Oberseminar Funktionalanalysis und partielle Differentialgleichungen", invited by Prof. Weth, University of Frankfurt, Germany.
    Talk: "Radial symmetry in doubly critical Hardy-Sobolev quasilinear systems".

Summer schools and formation courses on selection

  • 2014
    Participation in the 2014 Perugia Summer School - Meeting of First-Year INdAM Scholarship Recipients at the University of Perugia.
  • 2015
    Participation in the 2014 Perugia Summer School - Meeting of First-Year INdAM Scholarship Recipients at     the University of Perugia.
  • 22/7/2019-16/8/2019
    “Scuola Matematica Interuniversitaria” (Mathematical academy summer school) (SMI) at the University of Perugia, Italy, with final score A+ in the course “Functional Analysis” held by Prof. M. Ghergu and A+ in the course “Differential Geometry” held by Prof. L. Ornea.
  • 29/6/2020-3/7/2020
    “Scuola Matematica Interuniversitaria” (Mathematical academy summer school) SMI, Cortona Palazzone of the Scuola Normale Superiore, Italy, course “Transport and Fluids” held online by Prof. M. Bianchini and Prof. P. Marcati.
  • 5-16/7/2021
    “Scuola Matematica Interuniversitaria” (Mathematical academy summer school) SMI, Cortona Palazzone of the Scuola Normale Superiore, Italy, course “Function spaces and generalized regularity” held online by Prof. G. Leoni and Prof. I. Tice.

Formation experiences

  • 1-2/2019
    “Tecniche di biforcazione in problemi variazionali geometrici” (Bifurcation techniques on variational geometrical problems) PhD course held by Prof. P. Piccione at Sapienza, University of Rome, Italy.
  • 2019
    “Normalized solutions of nonlinear Schrödinger equations and systems” PhD course held by Prof. T. Bartsh and “Minmax methods for the area of surfaces” PhD course held by Prof. T. Rivière at University of Rome Tor Vergata, Italy.
  • 27-30/1/2020
    “Classical and fractional partial differential equations under different perspectives” PhD course held by Prof.s E. Valdinoci, S. Dipierro, L. Lombardini, at the University of Milano, Italy.
  • 16-20/11/2020
    “Maximum principle and detours” 2020 at Riemann International School of Mathematics RISM, Varese Villa Toeplitz, Italy, held online by Prof. I. Capuzzo Dolcetta.
  • 2021
    “Gamma-convergenza e applicazioni alla teoria dell'elasticità” (Gamma convergence and applications of elasticity theory) PhD course held online by Prof. M. Focardi and Prof. G. Lazzaroni.
  • 5-6/2021
    “Campanato Spaces and their Application to Regularity of Solutions to PDEs”, PhD course held online by Prof. V. Vespri.
  • 7-11/11/2022
    “The monotonicity trick and applications” 2022 at Riemann International School of Mathematics RISM, Varese Villa Toeplitz, Italy, held by Prof. M. Struwe.
  • 13-15/2/2023
    Schauder Winter School “Geometric and Topological Methods in Dynamics of PDEs” 2023, Faculty of Mathematics and Computer Science, University in Toruń, Poland, held by Prof.s Cieślak, Starostka, Kokocki, Ćwiszewski.
    Poster: "Infinitely many solutions to generalized quasilinear critical Schrodinger equations R^N".
  • 19-23/6/2023
    “Mini-courses in Mathematical Analysis 2023”     held by Prof.s Felli, Krejcirik, Lev, at the University of Padova, Italy, online.
    Talk: “Existence of normalized solutions to a class of (2, q)-Laplacian equations in R^N”.
  • 3-7/7/2023
    “A summer school about modern trends in Geometric Analysis and PDE” held by Prof.s F. Bethuel, P. Hajlasz, A. Malchiodi, M. Musso, in Chęciny, Świętokrzyskie Mountains, Poland.
    Poster: "Singular and coercive generalized Schrodinger equations R^N involving critical exponents".
  • 31/8/2026-4/9/2026
    Summer School 2026 "Stability of Nonlinear Waves", Karlsruhe Institute of Technology KIT, Karlsruhe, Germany. (planned)

Participation in conferences

  • 13-14/03/2019
    "Variational approaches to PDE's: A short school in Rome", University of Rome Tor Vergata, Italy.
  • 17/05/2019, 22/11/2019, 30/10/2020, 4/06/2021
    "Incontri di Analisi Matematica tra Firenze, Pisa e Siena" (Meetings between Firenze, Pisa and Siena), Italy, in presence and online.
  • 16-18/01/2020
    "Conference MATA (Multivariate Approximation: Theory and Applications) 2020", University of Perugia, Italy.
  • 3-5/02/2020
    "Workshop on Nonlinear PDEs and Applications on the occasion of the retirement of Professor Maria Cesarina Salvatori", University of Perugia, Italy.
  • 3/9/2020-15/12/2020
    "Webinar on pde and related areas", Indian Institute of Technology, Kanpur (IIT-K) in collaboration with TIFR-CAM, IISER-Pune e IISER-Kolkata, online.
  • 23-24/11/2020
    "Matematica, Filosofia e pandemia: dall'incertezza al pensiero critico" (Mathematics, Philosophy and pandemic: from the uncertainty to the critical thought), Riemann International School of Mathematics RISM, Varese, Italy, online.
  • 26/3/2021
    “Eredità di Lamberto Cesari nella costruzione di nuove sinergie scientifiche” Workshop del Centro di Ricerca Interdipartimentale "Lamberto Cesari", University of Perugia, online.
  • 18/6/2021
    "Workshop on PDEs and Applications", University of Perugia, online.
  • 1-2/07/2021
    "Two nonlinear days in Urbino 2021", University of Urbino, online.
  • 19-25/09/2021
    "12th Forum of Partial Differential Equations", Będlewo Conference Center, Poland.
    Contributed talk: "Nonlinear elliptic critical problems in R^N".
  • 1/10/2021
    "One day in PDEs” in honor of Sandro Salsa, Politecnico di Milano, Italy online.
  • 20-24/06/2022
    “Summer School in Nonlinear Analysis”, University of Viterbo, Italy.
  • 5-9/09/2022
    “Qualitative and quantitative aspects of nonlinear PDEs”, University of Bari, Italy.
  • 19-22/09/2022
    “International Workshop on Nonlinear Differential Problems”, Giardini Naxos, Italy.
    Poster: "Nonlinear elliptic critical problems in R^N".
  • 5-7/12/2022
    “Recent advances in direct and inverse problems for PDEs and applications”,     Sapienza University of Rome, Italy, online.
  • 11-12/05/2023
    “Workshop: Diffusion in Warsaw”,     Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland.
  • 29-31/05/2023
    “Analysis and PDEs”,     Riemann International School of Mathematics RISM, Varese, Italy.
    Poster: "Positive radial solutions of a quasilinear Dirichlet problem with diffusion".
  • 24-28/07/2023
    “Workshop on Operator Theory, Complex Analysis, and Applications 2023 - WOTCA 2023”,     University of Évora, Portugal.
  • 30/10/2023 - 03/11/2023
    “Atlantic Conference in Nonlinear PDEs: Dispersive and Elliptic Equations and Systems”, Instituto Superior Técnico, Universidade de Lisboa, Portugal.
    Poster: “Existence and nonexistence of radial solutions to m-Laplacian equations with diffusion via blow-up”.
  • 23-25/11/2023
    “50 years of Mountain Pass Theorem: a conference to celebrate the theorem and its authors”, SISSA, Trieste, Italy.
  • 22-26/01/2024
    "New Trends in Nonlinear PDE's, Physics and Geometry", University of Granada, Spain.
  • 17-18/05/2024
    “Two Nonlinear Days at the anniversary of Patrizia Pucci's retirement”, University of Perugia, Italy.
  • 3-7/06/2024
    “CIRM conference on Mathematical aspects of the physics with non-self-adjoint operators”, CIRM, Marseille, France.
    Contributed talk: "Curved quantum nonlinear waveguides".
  • 8-12/07/2024
    "Alhambra PDE days", University of Granada, Spain.
  • 22-26/07/2024
    “Workshop on Operator Theory, Complex Analysis, and Applications 2024 - WOTCA 2024”, University of Madeira, Portugal.
  • 27-28/09/2024
    “Nonlinear Analysis and Elliptic PDEs”, San José, Almeria, Spain.
  • 21/11/2024
    “Fluid mathematics. Day in tribute to Claudia García”, IMAG, University of Granada, Spain.
  • 24-28/02/2025
    "Conference on Mathematics of Wave Phenomena", Karlsruhe Institute of Technology KIT, Karlsruhe, Germany.
    Contributed talk: "Finite energy traveling waves for nonlinear Schrödinger equations".
  • 7-11/07/2025
    “Workshop on Operator Theory, Complex Analysis, and Applications 2025 - WOTCA 2025”, University of Aveiro, Portugal.
  • 13-17/04/2026
    "Annual Meeting 2026 of CRC1173" in Haus der Kirche - Evangelische Akademie Baden, Bad Herrenalb, Germany.
  • 20-24/04/2026
    “Mathematical aspects of the physics with non-self-adjoint operators”, CIRM, Marseille, France.
    Contributed talk: "Schrödinger operators in electromagnetic fields".
  • 25-26/2/2027
    "PDEs unplugged@Karlsruhe 2027", Karlsruhe Institute of Technology KIT, Karlsruhe, Germany. (planned)

Visits by invitation

  • 22-29/01/2023
    Visit to the Czech Technical University in Prague, Czech Republic, under the invitation of Prof. D. Krejcirik.
  • 11-16/09/2023
    Visit to the University of Catania, Italy, under the invitation of Prof.     S. Mosconi and Dr. U. Guarnotta.
  • 21-24/01/2025
    Visit to the Riemann International School of Mathematics, RISM, Italy, under the invitation of Dr. G. Romani.
  • 29/6/2026-3/7/2026
    Visit to the University of Granada, Spain, under the invitation of Prof. R. López-Soriano. 

Teaching

  • “Matematica” (Mathematics) inside the formative course “Tecnico superiore per i metodi e le tecnologie per lo sviluppo di sistemi software con specializzazione in sistemi IT, cloud computing, big data e applicazioni grafiche (IT Specialist in Development of Cloud, Data and Graphics Applications) Sezione A - Biennio 2022-2024” at ITS Umbria, 30 hours, a.y. 2022/2023.
  • "Ecuaciones en Derivadas Parciales" (Grupo: B, in english), Bachelor's Degree in Mathematics, University of Granada, a.y. 2023/2024, 20 hours.
  • "Ecuaciones en Derivadas Parciales" (Grupo: B, in english), Bachelor's Degree in Mathematics, University of Granada, a.y. 2024/2025, 30 hours. 

Educational and Tutoring Activities

  • Contract of tutorials or support for the action D of PLS (Piano Lauree Scientifiche) National Project of Biology and Biotechnology, 40 hours, a.y. 2016/2017.
  • Training at the University of Perugia with academic tutor Prof. R. Filippucci, as Master degree program, achieved by exercise part and tutorials (75 hours) for “Mathematical Analysis III” (MAT/05), Degree in Mathematics, a.y. 2016/2017.
  • Exercise part and tutorials for “Mathematical Analysis III” (Ex MAT/05), II semester, Degree in Mathematics, University of Perugia, during the a.y. 2017/2018 (16 hours), 2018/2019 (16 hours), 2019/2020 (16 hours), 2020/2021 (24 hours).
  • Member of the examination board, with the title of "Cultore della Materia", for “Mathematical Analysis III” (Ex MAT/05), Degree in Mathematics, and “Modern Analysis” (Ex MAT/05), Master Degree in Mathematics during the a.y. 2018/2019, 2019/2020, 2020/2021, at the University of Perugia.
  • Seminars as part of "Master Class: Modelli matematici nelle scienze della vita” in Piano Nazionale Lauree Scientifiche of Mathematics at the University of Perugia (PCTO), 21/02/2024 and 8/03/2024.
  • Substitute member of the examining committee for the “Doctorado en Física y Matemáticas” degree of candidate Francisco Javier Reyes-Sánchez, whose dissertation was defended at the University of Granada on July 1, 2026. Advisors: Prof. David Ruiz and Prof. Rafael López-Soriano.

Thesis supervisor

  • a.y. 2022/2023 master thesis co-supervisor at the University of Perugia entitled “Semilinear Elliptic Equations in R^N with a Singular Nonlinearity” together with Prof. R. Filippucci. Dissertation on 26/04/2024.
  • a.y. 2024/2025 master thesis co-supervisor at the University of Perugia entitled “Schrödinger-Poisson systems involving (p,q)-Laplacian operator” together with Prof. R. Filippucci. Dissertation on 15/04/2025.
  • a.y. 2024/2025 master thesis co-supervisor at the University of Perugia entitled “Normalized solutions for (p,q)-Laplacian equations” together with Prof. R. Filippucci. Dissertation on 17/07/2025.
  • a.y. 2025/2026 master thesis co-supervisor at the University of Perugia entitled “Sign-changing solutions for generalized nonlinear Schrödinger equations” together with Prof. R. Filippucci. Dissertation on 16/07/2026.

Memberships and grants

  • Member of the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM) from 2019 on.
  • Member of the COST Association CA24122 - multiscale Stochastics, Patterns, and Analysis of Combinatorial Environments (mSPACE).
  • Member of the Topical Activity Group ANPDE Advancing in non-linear PDEs in Europe
  • Member of the Project GNAMPA-INDAM 2023 (CUP-E53C22001930001) “Problemi ellittici e parabolici con termini di reazione singolari e convettivi”, coordinator Dr. U. Guarnotta, 2500 EUR (1 year).
  • Member of the Project GNAMPA-INDAM 2025 (CUP-E5324001950001) “Regolarita' ed Esistenza per Operatori Anisotropi”, coordinator Dr. S. Ciani, 3500 EUR (1 year).
  • Member of the Programma Workshop e Incontri 2026 - INdAM (CUP E53C25000860001) concerning the organization of the conference “INdAM Wokshop - GeoVar Winter School on PDEs”, at INdAM Rome, 2-6/2/2026, coordinator Dr. A. Bisterzo, 15000 EUR. 
  • Member of the Call for Applications 2025 - Banach Center Scientific Event Funding Competition concerning the organization of the conference “New Trends in Elliptic PDEs”, Bedlewo, Poland, 12-18/7/2026, coordinator Dr. J. Schino, 36000 PLN. 
  • Coordinator, together with Dr. F. Bernini, of the Project “Research in residence” program at CIRM, Marseille, France, with a project entitled “When Locality and Compactness Vanish: A Magnetic Perspective”. Members: L. Baldelli, F. Bernini. From 3 to 14 November, 2025.
  • Member of the PID Project PID2024-155314NB-I00, coordinator Prof. D. Ruiz and Prof. R. Lopez Soriano, 117500 EUR (3 years).
  • Coordinator of the Project “Contributo su organizzazione convegni, scuole e workshop per lo GNAMPA (INdAM)” (CUP E53C24001950001) concerning the organization of the conference “New Trends in Elliptic PDEs,” which will take place on July 12-18, 2026, at Będlewo Conference Center, Poland, 1000 EUR.
  • Member of the Project GNAMPA-INDAM 2026 (CUP E53C25002010001) “Structural degeneracy and criticality in (sub)elliptic PDEs”, coordinator Dr. F. Bernini, 2600 EUR (1 year).
  • Successful travel grant application Young Researcher and Innovator Conference grant (E-COST-GRANT-CA24122-88ec048d), for the conference in Gaeta 25-29/5/2026, 836.47 EUR.

Organized conferences

  • 16-20/12/2024
    Organization of a special session entitled "Advances on nonlinear elliptic PDEs" at "The 14th AIMS Conference" together with Prof. R. Filippucci, Abu Dhabi, UAE.
  • 13/06/2025
    "Young PDEs meeting in Granada" at University of Granada, together with Prof. R. López-Soriano.
  • 2-6/02/2026
    “INdAM Wokshop - GeoVar Winter School on PDEs”, INdAM, Roma, together with Dr.s F. Bernini, A. Bisterzo, R. Ognibene, G. Siclari, C.     Sportelli.
  • 12-18/07/2026

    "New Trends in Elliptic PDEs", Będlewo Conference Center, Poland, together with Prof.s B. Bieganowski, R. López-Soriano, F. Esposito e Dr. J. Schino.

Editorial Activity

  • Junior Editor for the Journal “Open Mathmatics”.
  • Editor in the Special Issue "Nonlinear Differential Equations: New Perspectives and Techniques" in "Open Mathematics" together with Dr. U. Guarnotta (University of Catania) and Dr. S. Ciani (University of Bologna).
  • Reviewer for Mathematical Reviews since 2020.
  • Referee for the Journals "Nonlinear Analysis", "Journal of Geometric Analysis" "Communications on Pure and Applied Analysis", "Nonlinear Differential Equations and Applications", "Fractional Calculus and Applied Analysis", "Zeitschrift für angewandte Mathematik und Physik", "Complex Analysis and Operator Theory", "Mathematische Zeitschrift", “Manuscripta Mathematica”, “Open Mathematics”, "Journal of Fixed Point Theory and Applications", "Communications in Analysis and Mechanics", "Boundary Value Problems", "Journal of Pseudo-Differential Operators and Applications", "European Journal of Mathematics", “Ricerche di Matematica”, "SeMA Journal", "Electronic Journal of Qualitative Theory of Differential Equations", "Demonstratio Mathematica", "Discrete and Continuous Dynamical Systems, Series S".

Patents

  • CERTIFICATE OF PATENT FOR AN INDUSTRIAL INVENTION in Italy n. 102024000009799 on the 25th of May 2026. Deposited on 30/04/2024.
    Title: "METODO PER DETERMINARE UN’EPOCA DI MORTE DI UN CADAVERE". Inventors: SCENDONI Roberto, CINGOLANI Mariano, FEDELI Piergiorgio, BALDELLI Laura, BIANCHINI Giovanni, TOMASSINI Luca. 
    Holders: University of Macerata and University of Camerino.

Publications

  • L. Baldelli, R. Filippucci, A priori estimates for elliptic problems via Liouville type theorems, Discrete Contin. Dyn. Syst. Ser. S, Special Issue on the occasion of the 65th birthday of Patrizia Pucci, 13 (2020), no. 7, 1883–1898, 16pp. doi: https://doi.org/10.3934/dcdss.2020148.
  • L. Baldelli, R. Filippucci, Existence results for elliptic problems with gradient terms via a priori estimates, Nonlinear Anal. TMA, 198 (2020), 111894, 22 pp. doi: https://doi.org/10.1016/j.na.2020.111894.
  • L. Baldelli, Y. Brizi, R. Filippucci, Multiplicity results for (p,q)-Laplacian equations with critical exponent in R^N and negative energy, Calc. Var. Partial Differential Equations, 60 (2021) no. 1, Paper No. 8, 30 pp. doi: https://doi.org/10.1007/s00526-020-01867-6.
  • L. Baldelli, Y. Brizi, R. Filippucci, On symmetric solutions for (p,q)-Laplacian equations in R^N with critical terms, J. Geom. Anal., 32 (2022), no. 4, Paper No. 120, 25 pp. doi: https://doi.org/10.1007/s12220-021-00846-3.
  • L. Baldelli, R. Filippucci, Singular quasilinear critical Schrödinger equations in R^N, Comm. Pure Appl. Anal., 21 (2022), no. 8, 2561–2586, 26 pp. doi: https://doi.org/10.3934/cpaa.2022060.
  • L. Baldelli, R. Filippucci, Existence of solutions for critical (p,q)-Laplacian equations in R^N, Commun. Contemp. Math., 25 (2023), no. 5, Paper No. 2150109, 26 pp. doi: https://doi.org/10.1142/S0219199721501091.
  • L. Baldelli, V. Brizi, R. Filippucci, Existence and nonexistence of positive radial solutions of a quasilinear Dirichlet problem with diffusion, J. Differential equation, 359 (2023), 107–151, 45pp. doi: https://doi.org/10.1016/j.jde.2023.02.034.
  • L. Baldelli, S. Ciani, I. Skrypnik, V. Vespri, A note on the point-wise behaviour of bounded solutions for a non-standard elliptic operator, Discrete Contin. Dyn. Syst. Ser. S, Special Issue on the occasion of the 80th birthday of Jerome (Jerry) A. Goldstein, 17 (2024), no. 5-6, 1718–1732, 15pp. doi: https://doi.org/10.3934/dcdss.2022143.
  • L. Baldelli, R. Filippucci, Multiplicity results for generalized quasilinear critical Schrödinger equations in R^N, Nonlinear Differential Equations Appl., 31 (2024), no. 1, Paper No. 8, 31 pp. doi: https://doi.org/10.1007/s00030-023-00897-1.
  • L. Baldelli, U. Guarnotta, Existence and regularity for a p-Laplacian problem in R^N with singular, convective, and critical reaction, Adv. Nonlinear Analysis, 13 (2024), no. 1, Paper No. 20240033, 26 pp. doi: https://doi.org/10.1515/anona-2024-0033.
  • L. Baldelli, T. Yang, Normalized solutions to a class of (2,q)-Laplacian equations, Adv. Nonlinear Stud., 25 (2025), no. 1, 225–256, 32pp. doi: https://doi.org/10.1515/ans-2023-0163.
  • L. Baldelli, D. Krejcirik, Curved nonlinear waveguides, Nonlinear Anal. TMA, 258 (2025), Paper No. 113814, 14 pp. doi: https://doi.org/10.1016/j.na.2025.113814.
  • L. Baldelli, R. Filippucci, A priori estimates for convective quasilinear equations and systems, Rend. Istit. Mat. Univ. Trieste, Special Issue on the occasion of the 70th birthday of Enzo Mitidieri, 57 (2025), Art. No. 16, 28 pp. doi: https://doi.org/10.13137/2464-8728/37297.
  • L. Baldelli, J. Mederski, A. Pomponio, Normalized solutions to quasilinear problems involving Born-Infeld-type operators, J. Differential Equations, 444 (2025), Paper No. 113595, 31 pp. doi: https://doi.org/10.1016/j.jde.2025.113595.
  • L. Baldelli, On the cubic-quintic Schrödinger equation, Nonlinear Differential Equations Appl., 32 (2025), no. 5, Paper No. 105, 22 pp. doi: https://doi.org/10.1007/s00030-025-01109-8.
  •  R. Scendoni, L. Tomassini, G. Bianchini, L. Baldelli, P. Fedeli, M. Cingolani, Transitioning from conventional to digital methods for estimating time since death: a multi-parameter forensic software, Journal of Forensic and Legal Medicine, 116 (2025), 103009, 10pp. doi: https://doi.org/10.1016/j.jflm.2025.103009.
  • L. Baldelli, P. Malanchini, S. Secchi, Existence and decay for a Grushin problem in R^N with singular, convective, critical reaction, J. Differential Equations, 478 (2026), Paper No. 114550, 58pp. doi: https://doi.org/10.1016/j.jde.2026.114550.
  • L. Baldelli, B. Bieganowski, J. Mederski, Traveling waves for nonlinear Schrödinger equations, to appear in Proceedings of the American Mathematical Society (arXiv:2406.03910), 14pp.
  • L. Baldelli, F. Esposito, R. Lopez-Soriano, B. Sciunzi, Radial symmetry of positive solutions to quasilinear Hardy-Sobolev doubly critical systems, to appear in Indiana University Mathematics Journal, 24pp.
  • L. Baldelli, R. Filippucci, On a class of critical Schrödinger-Poisson systems involving the (p,q)-Laplacian, to appear in Pure and Applied Functional Analysis, Special Issue on the occasion of the 75th birthday of Professor Laurent Véron (arXiv:2606.02227), 26pp.
  • L. Baldelli, R. Filippucci and D. Krejcirik, Critical quasilinear Schrödinger equations with electromagnetic fields, arXiv:2501.17025, 25 pp.
  • L. Baldelli, U. Guarnotta, Decay estimates for solutions to non-autonomous critical p-Laplace problems, arXiv:2502.19819, 20 pp.
  • L. Baldelli, N. Ikoma, Normalized Solutions for the (2,q)-Laplacian Operator Between Mass-Critical Exponents, arXiv:2511.15285, 38 pp.
  • L. Baldelli, G. Mancini, G. Romani, A blow-up approach for a priori bounds in semilinear planar elliptic systems: the Brezis-Merle critical case, arXiv:2602.11720, 31 pp.
  • L. Baldelli, F. Bernini, Qualitative properties of the fractional magnetic p-Laplacian and applications to critical quasilinear problems, arXiv:2603.06089, 31 pp.

Personal Skills

  • Reward “Medaglia di Bronzo al Valore Atletico” for international archery results obtained in the year 2017.
  • Reward “Medaglia di Bronzo al Valore Atletico” for international archery results obtained in the year 2019.
  • In 2012, 2015, 2018, 2020, 2021, 2022 member of the Italian National Archery Team.
  • Archery Italian National Events
    2nd place, “Coppa delle regioni”, in 2010.
    2nd place, “Indoor Championship”, 2011.
    2nd place, “Targa Championship    ”, 2013.
    1st place, “Coppa delle regioni”, 2014.
    1st place, “HF Championship”, 2014.
    2nd place, “Targa Championship”, 2014.
    1st place, “Coppa delle regioni”, 2017.
    2nd place, “HF Championship”, 2017.
    2nd place, “Indoor Championship”, 2018.
    1st place, “HF Championship”, 2019.
    2nd place, “HF Championship”, 2021.
  • Archery International Events
    Convocation at “European Junior Cup” at Paphos (CYP) in 2011.
    Convocation at “European Junior Cup” at Porec (CRO) in 2012.
    3rd place at “World field Championship” at Zagabria (CRO) in 2014.
    Convocation at “World Archery University Championship” at Ulaanbaatar (MGL) in 2016.
    3rd place at “European field Championship” at Mokrice (SLO) in 2017.
    Convocation at “European field Championship” at Mokrice (SLO) in 2019.
    Convocation at “European field Championship” at Porec (CRO) in 2021.
  • English Level C1 at CLA (Centro Linguistico di Ateneo), University of Perugia, 21/1/2020.
  • Spanish Level B1 (not certificated).
  • Driving licence.

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