World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
10430
World Ranking
2422
National Ranking
75

Overview

Lucio Boccardo is affiliated with Sapienza University of Rome in Italy and focuses their research primarily in the fields of Mathematics and Computer Science. Their work extensively covers subfields such as Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Modeling and Simulation, and Numerical Analysis.

Their research topics emphasize Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations, Mathematical Biology Tumor Growth, Differential Equations and Numerical Methods, Advanced Mathematical Physics Problems, Numerical Methods in Inverse Problems, and Stability and Controllability of Differential Equations.

Recent publications by Lucio Boccardo include:

  • Sublinear elliptic systems with a convection term, 2020, Communications in Partial Differential Equations
  • The impact of a lower order term in a Dirichlet problem with a singular nonlinearity, 2020, Portugaliae Mathematica
  • On an elliptic chemotaxis system with flux limitation and subcritical signal production, 2022, Applied Mathematics Letters
  • Calderon-Zygmund-Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift, 2020, Nonlinear Differential Equations and Applications NoDEA
  • Regularity results and asymptotic behavior for a noncoercive parabolic problem, 2021, Journal of Evolution Equations

Lucio Boccardo has commonly collaborated with the following co-authors:

  • Luigi Orsina
  • Stefano Buccheri
  • David Arcoya
  • G. R. Cirmi
  • J. Ignacio Tello

Their work has been published in several venues, with multiple contributions to:

  • Mathematics in Engineering
  • arXiv (Cornell University)
  • Applied Mathematics Letters
  • Journal of Evolution Equations
  • Revista Matemática Complutense

Best Publications

  • An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations

    Philippe Bénilan;Lucio Boccardo;Thierry Gallouët;Ron Gariepy

  • Non-linear elliptic and parabolic equations involving measure data

    Lucio Boccardo;Thierry Gallouët

  • Nonlinear Elliptic Equations with Right Hand Side Measures

    I. Boccardo;T. Gallouet

  • Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations

    Lucio Boccardo;François Murat

  • Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data

    Lucio Boccardo;Thierry Gallouët;Luigi Orsina

  • Existence of bounded solutions for non linear elliptic unilateral problems

    L. Boccardo;F. Murat;J. P. Puel

  • Nonlinear Parabolic Equations with Measure Data

    Lucio Boccardo;Andrea Dall'Aglio;Thierry Gallouët;Luigi Orsina

  • Semilinear elliptic equations with singular nonlinearities

    Lucio Boccardo;Luigi Orsina

  • On a non linear partial differential equation having natural growth terms and unbounded solution

    A. Bensoussan;L. Boccardo;F. Murat

  • L ∞ Estimate for some nonlinear elliptic partial differential equations and application to an existence result

    L. Boccardo;F. Murat;J.-P. Puel

  • Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms

    L. Boccardo;D. Giachetti;J.I. Diaz;F. Murat

  • Résultats d'existence pour certains problèmes elliptiques quasilinéaires

    L. Boccardo;F. Murat;J. P. Puel

  • Existence results for nonlinear elliptic equations with degenerate coercivity

    Angelo Alvino;Lucio Boccardo;Vincenzo Ferone;Luigi Orsina

  • Nonlinear elliptic equations in RN without growth restrictions on the data

    L. Boccardo;T. Gallouet;J.L. Vazquez

  • Strongly nonlinear elliptic equations having natural growth terms and L 1 data

    L. Boccardo;T. Gallouet

  • Existence de solutions non bornées pour certaines équations quasi-linéaires

    L. Boccardo;F. Murat;J.P. Puel

  • Some remarks on a system of quasilinear elliptic equations

    Lucio Boccardo;Djairo Guedes De Figueiredo

  • Existence results for some quasilinear parabolic equations

    L. Boccardo;F. Murat;J.-P. Puel

  • Anisotropic equations in $L^1$

    L. Boccardo;T. Gallouët;P. Marcellini

  • Existence and nonexistence of solutions for some nonlinear elliptic equations

    Lucio Boccardo;Thierry GallouËt;Luigi Orsina

Frequent Co-Authors

François Murat
François Murat Sorbonne University
Thierry Gallouët
Thierry Gallouët Aix-Marseille University
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas
Alessio Porretta
Alessio Porretta University of Rome Tor Vergata
Ireneo Peral
Ireneo Peral Autonomous University of Madrid
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Pavel Drábek
Pavel Drábek University of West Bohemia
Jesús Ildefonso Díaz Díaz
Jesús Ildefonso Díaz Díaz Complutense University of Madrid
Paolo Marcellini
Paolo Marcellini University of Florence
Nicola Fusco
Nicola Fusco University of Naples Federico II

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