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Paolo Marcellini

Paolo Marcellini

D-Index & Metrics

Mathematics

D-Index
39
Citations
6670
World Ranking
2194
National Ranking
64

Research.com Recognitions

  • 2022 - JMAA Ames Awards

Overview

Paolo Marcellini is affiliated with the University of Florence in Italy and conducts research primarily in the fields of Mathematics and Computer Science, with a significant focus on applied and computational aspects.

Their work spans several subfields, including Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Control and Systems Engineering, and Geometry and Topology. Key topics of their research include nonlinear partial differential equations, advanced mathematical modeling in engineering, and numerical methods in inverse problems. Additional interests cover stability and controllability of differential equations, nonlinear differential equations analysis, and advanced harmonic analysis research.

Recent publications by Paolo Marcellini include:

  • Growth conditions and regularity for weak solutions to nonlinear elliptic pdes, 2020, Journal of Mathematical Analysis and Applications
  • Local Lipschitz continuity for p,q− PDEs with explicit u− dependence, 2022, Nonlinear Analysis

Frequent collaborators have been identified, highlighting ongoing research partnerships. These include Carlo Sbordone, Nicola Fusco, Elvira Mascolo, Giovanni Cupini, and Antonia Passarelli di Napoli.

Their research has appeared across various publication venues, notably:

  • arXiv (Cornell University)
  • Nonlinear Analysis
  • Journal of Mathematical Analysis and Applications
  • Mathematics in Engineering
  • Advances in Calculus of Variations

In addition to journal articles, Paolo Marcellini has contributed to academic literature through book publications, including a notable title:

  • Mathematical Analysis, published by Springer International Publishing in 2022

This scholarly output reflects a sustained engagement with topics fundamental to mathematical analysis and its applications in engineering and physics.

Best Publications

  • Regularity and existence of solutions of elliptic equations with p,q-growth conditions

    Paolo Marcellini

  • Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions

    Paolo Marcellini

  • Implicit partial differential equations

    Bernard Dacorogna;Paolo Marcellini

  • Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals

    Paolo Marcellini

  • Regularity for Elliptic Equations with General Growth Conditions

    P. Marcellini

  • On the definition and the lower semicontinuity of certain quasiconvex integrals

    Paolo Marcellini

  • Everywhere regularity for a class of elliptic systems without growth conditions

    Paolo Marcellini

  • Periodic solutions and homogenization of non linear variational problems

    Paolo Marcellini

  • General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases

    Bernard Dacorogna;Paolo Marcellini

  • Nonlinear elliptic systems with general growth

    Paolo Marcellini;Gloria Papi

  • Anisotropic equations in $L^1$

    L. Boccardo;T. Gallouët;P. Marcellini

  • Parabolic Systems with p, q-Growth: A Variational Approach

    Verena Bögelein;Frank Duzaar;Paolo Marcellini

  • Sulla convergenza delle soluzioni di disequazioni variazionali

    Lucio Boccardo;Paolo Marcellini

  • Semicontinuity problems in the calculus of variations

    Paolo Marcellini;Carlo Sbordone

  • Growth conditions and regularity for weak solutions to nonlinear elliptic pdes

    Paolo Marcellini

  • Lipschitz estimates for systems with ellipticity conditions at infinity

    Michela Eleuteri;Paolo Marcellini;Elvira Mascolo

  • Regularity for some scalar variational problems under general growth conditions

    P. Marcellini

  • Existence of evolutionary variational solutions via the calculus of variations

    Verena Bögelein;Frank Duzaar;Paolo Marcellini

  • An existence result for a nonconvex variational problem via regularity

    Irene Fonseca;Nicola Fusco;Paolo Marcellini

  • Non convex integrals of the Calculus of Variations

    Paolo Marcellini

  • Calculus of Variations and Nonlinear Partial Differential Equations

    Luigi Ambrosio;Luis Caffarelli;Michael G. Crandall;Lawrence C. Evans

Frequent Co-Authors

Frank Duzaar
Frank Duzaar University of Erlangen-Nuremberg
Nicola Fusco
Nicola Fusco University of Naples Federico II
Irene Fonseca
Irene Fonseca Carnegie Mellon University
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Michael G. Crandall
Michael G. Crandall University of California, Santa Barbara
Lawrence C. Evans
Lawrence C. Evans University of California, Berkeley
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Lucio Boccardo
Lucio Boccardo Sapienza University of Rome
John M. Ball
John M. Ball University of Oxford
Ivar Ekeland
Ivar Ekeland University of British Columbia

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