Edit Profile (opens in new tab) Boccardo, Lucio Co-Author Distance Author ID: boccardo.lucio Published as: Boccardo, Lucio; Boccardo, L. External Links: ORCID · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 253 Publications since 1973, including 2 Books and 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 62 Co-Authors with 192 Joint Publications 1,594 Co-Co-Authors all top 5 Co-Authors 57 single-authored 65 Orsina, Luigi 24 Murat, François 20 Gallouët, Thierry 19 Arcoya, David 11 Porzio, Maria Michaela 10 Croce, Gisella 9 Giachetti, Daniela 8 Puel, Jean-Pierre 7 Bensoussan, Alain 6 Buccheri, Stefano 6 Capuzzo Dolcetta, Italo 6 Cirmi, Giuseppa Rita 5 Dall’Aglio, Andrea 5 Peral Alonso, Ireneo 5 Porretta, Alessio 4 Casado-Díaz, Juan 4 Leonori, Tommaso 4 Moreno-Mérida, Lourdes 4 Vazquez, Juan Luis 3 Dacorogna, Bernard 3 Díaz Díaz, Jesús Ildefonso 3 Escobedo Martínez, Miguel 3 Imparato, Pasquale 3 Marcellini, Paolo 3 Pellacci, Benedetta 2 Brézis, Haïm 2 Buttazzo, Giuseppe 2 de Thélin, François 2 Drábek, Pavel 2 Ferone, Vincenzo 2 Fleckinger, Jacqueline 2 Kučera, Milan 2 Leone, Chiara 2 Primo, Ana R. M. 2 Santos, Carlos Alberto P. 2 Segura de León, Sergio 1 Abdellaoui, Boumediene 1 Adimurthi, A. 1 Alvino, Angelo 1 Andreu, Fuensanta 1 Artola, Michel 1 Bénilan, Philippe 1 Guedes de Figueiredo, Djairo 1 Del Vecchio, Teresa 1 Donati, Flavio 1 Fusco, Nicola 1 Gariepy, Ron 1 Gómez-Castro, David 1 Maia, Liliane A. 1 Matzeu, Michele 1 Mazón Ruiz, José M. 1 Petitta, Francesco 1 Pierre, Michel 1 Polito, Andrea 1 Ponce, Augusto C. 1 Rita Cirmi, G. 1 Sbordone, Carlo 1 Schianchi, Rosanna 1 Tanteri, Chiara 1 Tesei, Alberto 1 Trombetti, Cristina 1 Trombetti, Guido all top 5 Serials 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 8 Journal of Differential Equations 7 Differential and Integral Equations 7 Nonlinear Analysis. Theory, Methods & Applications 6 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 6 Journal of Evolution Equations 6 Advanced Nonlinear Studies 6 Milan Journal of Mathematics 5 Journal of Mathematical Analysis and Applications 5 Asymptotic Analysis 5 Journal of Convex Analysis 4 Journal of Functional Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Communications in Partial Differential Equations 4 Comptes Rendus de l’Académie des Sciences. Série I 4 NoDEA. Nonlinear Differential Equations and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Bollettino dell’Unione Matematica Italiana 4 Mathematics in Engineering 3 Applicable Analysis 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Optimization 3 Ricerche di Matematica 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 Revista Matemática Complutense 3 Bollettino dell’Unione Matematica Italiana. Series IX 2 Manuscripta Mathematica 2 Portugaliae Mathematica 2 Applied Mathematics Letters 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Advances in Mathematical Sciences and Applications 2 Calculus of Variations and Partial Differential Equations 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Bollettino della Unione Matematica Italiana. Series IV 2 Bollettino della Unione Matematica Italiana. Series V. B 2 Advances in Calculus of Variations 2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Commentationes Mathematicae Universitatis Carolinae 1 Le Matematiche 1 Numerical Functional Analysis and Optimization 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Revista Matemática Iberoamericana 1 Revista Matemática de la Universidad Complutense de Madrid 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 Methods and Applications of Analysis 1 Advances in Differential Equations 1 Communications on Applied Nonlinear Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Communications in Contemporary Mathematics 1 Nonlinear Boundary Value Problems 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of Nonlinear and Convex Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Rendiconti di Matematica, VI. Serie 1 Complex Variables and Elliptic Equations 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 De Gruyter Studies in Mathematics 1 Pitman Research Notes in Mathematics Series 1 Quaderni dell’Unione Matematica Italiana 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 S\(\vec{\text{e}}\)MA Journal 1 Advances in Nonlinear Analysis 1 Minimax Theory and its Applications 1 Journal of Elliptic and Parabolic Equations 1 Pure and Applied Analysis 1 Probability, Uncertainty and Quantitative Risk all top 5 Fields 228 Partial differential equations (35-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 17 Operator theory (47-XX) 10 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 217 Publications have been cited 6,118 times in 2,517 Documents Cited by ▼ Year ▼ An \(L^ 1\)-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Zbl 0866.35037 Bénilan, Philippe; Boccardo, Lucio; Gallouët, Thierry; Gariepy, Ron; Pierre, Michel; Vazquez, Juan Luis 610 1995 Nonlinear elliptic and parabolic equations involving measure data. Zbl 0707.35060 Boccardo, Lucio; Gallouët, Thierry 592 1989 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043 Boccardo, L.; Gallouet, T. 341 1992 Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Zbl 0783.35020 Boccardo, Lucio; Murat, François 296 1992 Existence of bounded solutions for non linear elliptic unilateral problems. Zbl 0687.35042 Boccardo, L.; Murat, F.; Puel, J. P. 205 1988 Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081 Boccardo, Lucio; Orsina, Luigi 198 2010 Nonlinear parabolic equations with measure data. Zbl 0887.35082 Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 196 1997 Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Zbl 0857.35126 Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 174 1996 \(L^{\infty{}}\) estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033 Boccardo, L.; Murat, F.; Puel, J.-P. 131 1992 Existence results for nonlinear elliptic equations with degenerate coercivity. Zbl 1105.35040 Alvino, Angelo; Boccardo, Lucio; Ferone, V.; Orsina, Luigi; Trombetti, Guido 115 2003 On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042 Bensoussan, A.; Boccardo, L.; Murat, F. 102 1988 Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms. Zbl 0803.35046 Boccardo, L.; Giachetti, D.; Diaz, J. I.; Murat, F. 97 1993 Some remarks on a system of quasilinear elliptic equations. Zbl 1011.35050 Boccardo, Lucio; Guedes de Figueiredo, Djairo 96 2002 Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data. Zbl 0810.35021 Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 89 1993 Résultats d’existence pour certains problèmes elliptiques quasilinéaires. (Existence results for certain quasilinear elliptic problems). Zbl 0557.35051 Boccardo, L.; Murat, F.; Puel, J. P. 88 1984 Existence and regularity results for some elliptic equations with degenerate coercivity. Zbl 0911.35049 Boccardo, Lucio; Dall’Aglio, Andrea; Orsina, Luigi 87 1998 Strongly nonlinear elliptic equations having natural growth terms and \(L^ 1\) data. Zbl 0795.35031 Boccardo, L.; Gallouet, T. 84 1992 Existence de solutions faibles pour des équations elliptiques quasi- linéaires à croissance quadratique. (Existence of weak solutions for quasilinear elliptic equations with quadratic growth). Zbl 0588.35041 Boccardo, L.; Murat, F.; Puel, J.-P. 80 1983 Existence de solutions non bornées pour certaines équations quasi- linéaires. Zbl 0524.35041 Boccardo, L.; Murat, F.; Puel, J. P. 78 1982 Existence and nonexistence of solutions for some nonlinear elliptic equations. Zbl 0898.35035 Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 66 1997 Existence results for some quasilinear parabolic equations. Zbl 0705.35066 Boccardo, Lucio; Murat, François; Puel, Jean-Pierre 64 1989 Anisotropic equations in \(L^ 1\). Zbl 0838.35048 Boccardo, L.; Gallouet, T.; Marcellini, P. 63 1996 Some nonlinear Dirichlet problems in \(L^ 1\) involving lower order terms in divergence form. Zbl 0889.35034 Boccardo, L. 63 1996 Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034 Boccardo, Lucio 59 2008 Critical points for multiple integrals of the calculus of variations. Zbl 0884.58023 Arcoya, David; Boccardo, Lucio 59 1996 Some developments on Dirichlet problems with discontinuous coefficients. Zbl 1178.35367 Boccardo, Lucio 56 2009 Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030 Boccardo, Lucio; Marcellini, Paolo 55 1976 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058 Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 54 1990 A Dirichlet problem involving critical exponents. Zbl 0828.35042 Boccardo, Lucio; Escobedo, Miguel; Peral, Ireneo 53 1995 Dirichlet problems with singular convection terms and applications. Zbl 1376.35028 Boccardo, Lucio 50 2015 Some elliptic problems with singular natural growth lower order terms. Zbl 1203.35103 Arcoya, David; Boccardo, Lucio; Leonori, Tommaso; Porretta, Alessio 48 2010 Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 1178.35183 Boccardo, Lucio; Brezis, Haïm 47 2003 Existence and uniqueness of solution of unilateral problems with \(L^1\) data. Zbl 0958.47038 Boccardo, L.; Cirmi, G. R. 44 1999 Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term. Zbl 1134.35358 Boccardo, Lucio; Segura de León, Sergio; Trombetti, Cristina 42 2001 Generalization of Fredholm alternative for nonlinear differential operators. Zbl 0623.34031 Boccardo, Lucio; Drábek, Pavel; Giachetti, Daniela; Kučera, Milan 38 1986 A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential. Zbl 1387.35119 Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo 37 2006 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045 Boccardo, Lucio; Gallouët, Thierry 37 2012 Nonlinear degenerate elliptic problems with \(W^{1,1}_0(\Omega)\) solutions. Zbl 1237.35073 Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 37 2012 A Dirichlet problem with singular and supercritical nonlinearities. Zbl 1250.35112 Boccardo, Lucio 36 2012 Regularizing effect of the interplay between coefficients in some elliptic equations. Zbl 1317.35082 Arcoya, David; Boccardo, Lucio 36 2015 Existence of a solution for a weaker form of a nonlinear elliptic equation. Zbl 0703.35063 Boccardo, L.; Diaz, J. I.; Giachetti, D.; Murat, F. 31 1989 Some remarks on critical point theory for nondifferentiable functionals. Zbl 0923.35049 Arcoya, David; Boccardo, Lucio 31 1999 Unicité de la solution de certaines équations elliptiques non linéaires. (Uniqueness of the solution of some nonlinear elliptic equations). Zbl 0789.35056 Boccardo, Lucio; Gallouët, Thierry; Murat, François 29 1992 Sublinear equations in \(L^ s\). Zbl 0803.35047 Boccardo, L.; Orsina, L. 28 1994 Some noncoercive parabolic equations with lower order terms in divergence form. Zbl 1032.35104 Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 27 2003 Remarques sur l’homogénéisation de certains problèmes quasi- linéaires. Zbl 0524.35042 Boccardo, Lucio; Murat, François 27 1982 Problèmes unilatéraux avec données dans \(L^ 1\). (Unilateral problems with \(L^ 1\) data). Zbl 0715.49013 Boccardo, Lucio; Gallouet, Thierry 26 1990 Regularizing effect of \(L^q\) interplay between coefficients in some elliptic equations. Zbl 1390.35067 Arcoya, David; Boccardo, Lucio 25 2018 Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data. Zbl 1174.35038 Boccardo, Lucio 24 2009 Two linear noncoercive Dirichlet problems in duality. Zbl 1398.35036 Boccardo, Lucio; Buccheri, Stefano; Cirmi, Giuseppa Rita 24 2018 Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities. Zbl 1289.35098 Arcoya, David; Boccardo, Lucio 23 2013 Some properties of solutions of some semilinear elliptic singular problems and applications to the \(G\)-convergence. Zbl 1288.35263 Boccardo, Lucio; Casado-Díaz, Juan 23 2014 Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093 Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 22 1999 Elliptic partial differential equations. Existence and regularity of distributional solutions. Zbl 1293.35001 Boccardo, Lucio; Croce, Gisella 22 2013 A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033 Boccardo, L.; Gallouët, T.; Murat, F. 21 1993 Elliptic and parabolic differential problems with measure data. Zbl 0893.35131 Boccardo, Lucio 21 1997 Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055 Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 20 2001 Quelques propriétés des opérateurs elliptiques quasi linéaires. (Some properties of quasilinear elliptic operators). Zbl 0696.35050 Boccardo, Lucio; Murat, François; Puel, Jean-Pierre 20 1988 Some elliptic problems with degenerate coercivity. Zbl 1161.35381 Boccardo, Lucio 19 2006 Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068 Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 19 2011 Stampacchia-Caldéron-Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. Zbl 1437.35231 Boccardo, Lucio 19 2019 \(H\) convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008 Bensoussan, A.; Boccardo, L.; Murat, F. 18 1992 Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046 Bensoussan, Alain; Boccardo, Lucio 17 2002 Summability and existence results for nonlinear parabolic equations. Zbl 1171.35400 Boccardo, Lucio; Porzio, Maria Michaela; Primo, Ana 17 2009 Nouveaux résultats de convergence dans des problèmes unilateraux. Zbl 0484.49009 Boccardo, L.; Murat, F. 16 1982 G-convergenza e problema di Dirichlet unilaterale. Zbl 0337.35023 Boccardo, L.; Dolcetta, I. Capuzzo 15 1975 Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102 Arcoya, David; Boccardo, Lucio; Orsina, Luigi 15 2013 Existence results for Dirichlet problems in \(L^ 1\) via Minty’s lemma. Zbl 1034.35033 Boccardo, Lucio; Orsina, Luigi 15 2000 Existence results via regularity for some nonlinear elliptic problems. Zbl 0678.35035 Boccardo, Lucio; Giachetti, Daniela 15 1989 Some Dirichlet problems with data in large Sobolev spaces. (Quelques problèmes de Dirichlet avec données dans de grands espaces de Sobolev.) Zbl 0896.35046 Boccardo, Lucio 15 1997 Homogenization of elliptic equations with principal part not in divergence form and Hamiltonian with quadratic growth. Zbl 0602.35030 Bensoussan, A.; Boccardo, L.; Murat, F. 14 1986 \(T\)-minima: an approach to minimization problems in \(L^1\). Zbl 1009.49002 Boccardo, Lucio 14 2000 Existence and regulatiry of solutions of some elliptic problems. (Esistenza e regolarità di soluzioni di alcuni problemi ellittici.) Zbl 1326.35003 Boccardo, Lucio; Croce, Gisella 14 2010 On the regularizing effect of strongly increasing lower order terms. Zbl 1225.35085 Boccardo, Lucio 13 2003 Existence and regularity of minima for integral functionals noncoercive in the energy space. Zbl 1015.49014 Boccardo, Lucio; Orsina, Luigi 13 1997 A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals. Zbl 1226.35040 Boccardo, Lucio 13 2011 Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023 Boccardo, Lucio; Orsina, Luigi 13 2018 Very singular solutions for linear Dirichlet problems with singular convection terms. Zbl 1437.35382 Boccardo, Lucio; Orsina, Luigi 13 2020 Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104 Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 13 2016 Sublinear elliptic systems with a convection term. Zbl 1454.35110 Boccardo, Lucio; Orsina, Luigi 13 2020 Some observations on the regularity of the solutions of strongly nonlinear problems and applications. Zbl 0627.35034 Boccardo, Lucio; Giachetti, Daniela 12 1985 Existence results for \(L^1\) data of some quasi-linear parabolic problems with a quadratic gradient term and source. Zbl 1032.35099 Andreu, F.; Segura de Léon, S.; Boccardo, L.; Orsina, L. 12 2002 Homogenization of nonlinear unilateral problems. Zbl 0749.49009 Boccardo, Lucio; Murat, François 12 1991 A property of nonlinear elliptic equations when the right-hand side is a measure. Zbl 0807.35034 Boccardo, Lucio; Murat, François 12 1994 Calderon-Zygmund-Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift. Zbl 1448.35144 Boccardo, L.; Buccheri, S.; Cirmi, G. R. 12 2020 A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms. Zbl 1326.35143 Boccardo, Lucio; Moreno-Mérida, Lourdes; Orsina, Luigi 12 2015 Finite energy solutions of nonlinear Dirichlet problems with discontinuous coefficients. Zbl 1258.35095 Boccardo, Lucio 11 2012 A semilinear problem with a \(W^{1,1}_0\) solution. Zbl 1247.35037 Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 10 2012 Existence of critical points for some noncoercive functionals. Zbl 1035.49007 Arcoya, David; Boccardo, Lucio; Orsina, Luigi 10 2001 Some degenerate parabolic problems: existence and decay properties. Zbl 1295.35272 Boccardo, Lucio; Porzio, Maria Michaela 10 2014 Bounded solutions for a class of quasi-linear parabolic problems with a quadratic gradient term. Zbl 1028.35058 Boccardo, Lucio; Porzio, Maria Michaela 10 2002 Landesman-Lazer conditions for strongly nonlinear boundary value problems. Zbl 0706.35051 Boccardo, Lucio; Drábek, Pavel; Kučera, Milan 10 1989 Finite energy weak solutions to some Dirichlet problems with very singular drift. Zbl 1463.35217 Boccardo, Lucio 10 2019 The impact of a lower order term in a Dirichlet problem with a singular nonlinearity. Zbl 1454.35161 Boccardo, Lucio; Croce, Gisella 10 2019 Strongly nonlinear unilateral problems. Zbl 0535.49010 Boccardo, Lucio; Giachetti, Daniela 9 1983 An \(L^ s\)-estimate for the gradient of solutions of some nonlinear unilateral problems. Zbl 0599.49009 Boccardo, Lucio 9 1985 On an elliptic chemotaxis system with flux limitation and subcritical signal production. Zbl 1498.35245 Boccardo, Lucio; Tello, J. Ignacio 9 2022 Summability of the solutions of nonlinear elliptic equations with right hand side measures. Zbl 0869.35108 Boccardo, Lucio; Gallouet, Thierry 9 1996 Elliptic systems of Schrödinger type in the spirit of Benci-Fortunato. Zbl 1328.35042 Boccardo, Lucio 9 2015 Parabolic equations with singular and supercritical reaction terms. Zbl 1374.35193 Boccardo, Lucio; Escobedo, Miguel; Porzio, Maria Michaela 9 2015 Failure of the Hopf-Oleinik lemma for a linear elliptic problem with singular convection of non-negative divergence. Zbl 1540.35153 Boccardo, Lucio; Ildefonso Díaz, Jesús; Gómez-Castro, David 1 2024 Dirichlet problems with skew-symmetric drift terms. (Problèmes de Dirichlet avec des termes de drift asymétriques.) Zbl 1537.35172 Boccardo, Lucio; Casado-Diaz, Juan; Orsina, Luigi 1 2024 The impact of the zero order term in the study of Dirichlet problems with convection or drift terms. Zbl 1514.35140 Boccardo, Lucio 8 2023 Asymptotic behavior of solutions for nonlinear parabolic problems with Marcinkiewicz data. Zbl 1531.35054 Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 1 2023 A “nonlinear duality” approach to \(W_0^{1, 1}\) solutions in elliptic systems related to the Keller-Segel model. Zbl 1539.35062 Boccardo, Lucio 1 2023 A nonlinear elliptic system with a transport term and singular data. Zbl 1520.35053 Boccardo, Lucio; Tello, J. Ignacio 1 2023 Hardy potential versus lower order terms in Dirichlet problems: regularizing effects. Zbl 1537.35161 Arcoya, David; Boccardo, Lucio; Orsina, Luigi 1 2023 Regularizing effect in some Mingione’s double phase problems with very singular data. Zbl 1539.35050 Boccardo, Lucio; Cirmi, Giuseppa Rita 1 2023 On an elliptic chemotaxis system with flux limitation and subcritical signal production. Zbl 1498.35245 Boccardo, Lucio; Tello, J. Ignacio 9 2022 Nonlinear weighted elliptic equations with Sobolev weights. Zbl 1500.35159 Boccardo, Lucio; Imparato, Pasquale; Orsina, Luigi 2 2022 On obstacle problems for non coercive linear operators. Zbl 1501.35223 Boccardo, L.; Cirmi, G. R.; Rodrigues, J. F. 2 2022 The impact of a “quadratic gradient” term in a system of Schrödinger-Maxwell equations. Zbl 1501.35165 Boccardo, Lucio 1 2022 Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers. Zbl 1498.35256 Boccardo, Lucio; Maia, Liliane; Pellacci, Benedetta 1 2022 Existence of weak solutions for some elliptic systems. Zbl 1505.35136 Boccardo, Lucio; Orsina, Luigi 1 2022 The duality method for mean field games systems. Zbl 1489.35074 Boccardo, Lucio; Orsina, Luigi 1 2022 Lower order terms in divergence form versus lower order terms with natural growth in some Dirichlet problems. Zbl 1490.35159 Boccardo, Lucio; Polito, Andrea 1 2022 An elliptic system with singular nonlinearities: Existence via non variational arguments. Zbl 1497.35184 Boccardo, Lucio; Buccheri, Stefano; dos Santos, Carlos Alberto 1 2022 Regularity results and asymptotic behavior for a noncoercive parabolic problem. Zbl 1470.35091 Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 8 2021 A nonlinear homotopy between two linear Dirichlet problems. Zbl 1472.35124 Boccardo, Lucio; Buccheri, Stefano 5 2021 Weak maximum principle for Dirichlet problems with convection or drift terms. Zbl 1496.35123 Boccardo, Lucio 4 2021 An elliptic system related to the stationary thermistor problem. Zbl 1480.35152 Boccardo, Lucio; Orsina, Luigi 3 2021 A quasilinear singular elliptic problem related to the Kardar-Parisi-Zhang equation. Zbl 1464.35124 Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo 3 2021 Regularizing effect of the interplay between coefficients in Dirichlet problems with convection or drift terms. Zbl 1468.35044 Boccardo, Lucio 3 2021 Schrödinger-Maxwell systems with interplay between coefficients and data. Zbl 1480.35177 Arcoya, David; Boccardo, Lucio; Orsina, Luigi 2 2021 Maximum principle thanks to interplay between coefficients in some Dirichlet problems. Zbl 1453.35035 Arcoya, David; Boccardo, Lucio 1 2021 Some new results about Mosco convergence. Zbl 1466.49010 Boccardo, Lucio 1 2021 Very singular solutions for linear Dirichlet problems with singular convection terms. Zbl 1437.35382 Boccardo, Lucio; Orsina, Luigi 13 2020 Sublinear elliptic systems with a convection term. Zbl 1454.35110 Boccardo, Lucio; Orsina, Luigi 13 2020 Calderon-Zygmund-Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift. Zbl 1448.35144 Boccardo, L.; Buccheri, S.; Cirmi, G. R. 12 2020 Regularizing effect of the interplay between coefficients in some nonlinear Dirichlet problems with distributional data. Zbl 1453.35081 Arcoya, David; Boccardo, Lucio; Orsina, Luigi 4 2020 Strong maximum principle for some quasilinear Dirichlet problems having natural growth terms. Zbl 1439.35106 Boccardo, Lucio; Orsina, Luigi 4 2020 A semilinear system of Schrödinger-Maxwell equations. Zbl 1436.35136 Boccardo, Lucio; Orsina, Luigi 3 2020 Existence results for a system of Kirchhoff-Schrödinger-Maxwell equations. Zbl 1441.35118 Boccardo, Lucio; Orsina, Luigi 2 2020 Stampacchia-Caldéron-Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. Zbl 1437.35231 Boccardo, Lucio 19 2019 Finite energy weak solutions to some Dirichlet problems with very singular drift. Zbl 1463.35217 Boccardo, Lucio 10 2019 The impact of a lower order term in a Dirichlet problem with a singular nonlinearity. Zbl 1454.35161 Boccardo, Lucio; Croce, Gisella 10 2019 Two semilinear Dirichlet problems “almost” in duality. Zbl 1436.35170 Boccardo, Lucio 5 2019 Some cases of weak continuity in nonlinear Dirichlet problems. Zbl 1435.35157 Boccardo, Lucio 2 2019 Regularizing effect of \(L^q\) interplay between coefficients in some elliptic equations. Zbl 1390.35067 Arcoya, David; Boccardo, Lucio 25 2018 Two linear noncoercive Dirichlet problems in duality. Zbl 1398.35036 Boccardo, Lucio; Buccheri, Stefano; Cirmi, Giuseppa Rita 24 2018 Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023 Boccardo, Lucio; Orsina, Luigi 13 2018 Critical points of non-regular integral functionals. Zbl 1404.35137 Boccardo, Lucio; Pellacci, Benedetta 6 2018 Regularizing effect of the lower order terms in some elliptic problems: old and new. Zbl 1394.35152 Boccardo, Lucio; Orsina, Luigi 5 2018 T-minima and application to the convergence of some integral functionals with infinite energy minima. Zbl 1483.49016 Boccardo, Lucio 2 2018 A weak minima approach to the study of the existence of saddle points of integral functionals. Zbl 1403.49006 Boccardo, Lucio; Orsina, Luigi 1 2018 The regularizing effect of lower order terms in elliptic problems involving Hardy potential. Zbl 1370.35102 Adimurthi, A.; Boccardo, Lucio; Cirmi, G. Rita; Orsina, Luigi 8 2017 Some elliptic equations with \(W_0^{1,1}\) solutions. Zbl 1368.35130 Boccardo, Lucio; Cirmi, G. Rita 7 2017 The role of interplay between coefficients in the \(G\)-convergence of some elliptic equations. Zbl 1386.35064 Boccardo, Lucio; Orsina, Luigi; Ponce, Augusto C. 3 2017 Increase of powers in the lower order term: a come back when the source term has a poor summability. Zbl 1391.35135 Boccardo, L.; Murat, F. 3 2017 Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations. Zbl 1366.35030 Boccardo, Lucio; Orsina, Luigi 2 2017 Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104 Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 13 2016 Compactness of minimizing sequences. Zbl 1337.49016 Boccardo, Lucio; Gallouet, Thierry 5 2016 Some borderline cases of nonlinear parabolic equations with irregular data. Zbl 1386.35222 Boccardo, Lucio; Orsina, Luigi 2 2016 Dirichlet problems with singular convection terms and applications. Zbl 1376.35028 Boccardo, Lucio 50 2015 Regularizing effect of the interplay between coefficients in some elliptic equations. Zbl 1317.35082 Arcoya, David; Boccardo, Lucio 36 2015 A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms. Zbl 1326.35143 Boccardo, Lucio; Moreno-Mérida, Lourdes; Orsina, Luigi 12 2015 Elliptic systems of Schrödinger type in the spirit of Benci-Fortunato. Zbl 1328.35042 Boccardo, Lucio 9 2015 Parabolic equations with singular and supercritical reaction terms. Zbl 1374.35193 Boccardo, Lucio; Escobedo, Miguel; Porzio, Maria Michaela 9 2015 A quasilinear elliptic system with natural growth terms. Zbl 1330.35124 Boccardo, Lucio; Orsina, Luigi; Puel, Jean-Pierre 7 2015 A failing in the Calderon-Zygmund theory of Dirichlet problems for linear equations with discontinuous coefficients. Zbl 1330.35491 Boccardo, Lucio 6 2015 \(W_0^{1, 1}\) solutions of some unilateral problems. Zbl 1320.35123 Boccardo, Lucio; Cirmi, G. Rita 5 2015 Leray-Lions operators with logarithmic growth. Zbl 1308.35093 Boccardo, Lucio; Orsina, Luigi 5 2015 An elliptic system with degenerative coercivity. Zbl 1357.35120 Boccardo, Lucio; Croce, Gisella; Tanteri, Chiara 5 2015 \(W^{1,1}(\omega)\) solutions of nonlinear problems with nonhomogeneous Neumann boundary conditions. Zbl 1336.35163 Boccardo, Lucio; Moreno-Mérida, Lourdes 2 2015 \(G\)-convergence in a semilinear problem with a \(W_0^{1,1}\) solution. Zbl 1331.35142 Boccardo, Lucio; Casado-Díaz, Juan 2 2015 Existence of solutions and regularizing effect for some elliptic nonlinear problems with nonhomogeneous Neumann boundary conditions. Zbl 1319.35061 Boccardo, L.; Mazón, J. M. 2 2015 A quasilinear elliptic equation with \(W_0^{1,1}\)-solutions. Zbl 1322.35034 Boccardo, Lucio 1 2015 Some properties of solutions of some semilinear elliptic singular problems and applications to the \(G\)-convergence. Zbl 1288.35263 Boccardo, Lucio; Casado-Díaz, Juan 23 2014 Some degenerate parabolic problems: existence and decay properties. Zbl 1295.35272 Boccardo, Lucio; Porzio, Maria Michaela 10 2014 \(W_0^{1,1}\) solutions in some borderline cases of elliptic equations with degenerate coercivity. Zbl 1321.35053 Boccardo, Lucio; Croce, Gisella 6 2014 Some existence and regularity results by Neil Trudinger revisited without the weighted Sobolev spaces framework. Zbl 1377.35116 Boccardo, Lucio; Cirmi, G. Rita 2 2014 Existence and regularity results for p-Laplacian boundary value problems. Zbl 1310.35125 Boccardo, Lucio; Moreno-Mérida, Lourdes 2 2014 Corrigendum to: “A variational semilinear singular system”. Zbl 1287.35019 Boccardo, Lucio; Orsina, Luigi 1 2014 Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities. Zbl 1289.35098 Arcoya, David; Boccardo, Lucio 23 2013 Elliptic partial differential equations. Existence and regularity of distributional solutions. Zbl 1293.35001 Boccardo, Lucio; Croce, Gisella 22 2013 Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102 Arcoya, David; Boccardo, Lucio; Orsina, Luigi 15 2013 \({W^{1,1}_0}\)-solutions for elliptic problems having gradient quadratic lower order terms. Zbl 1288.35259 Arcoya, David; Boccardo, Lucio; Leonori, Tommaso 4 2013 The effect of a linear term in some nonlinear elliptic equations with singular data. Zbl 1288.35267 Boccardo, Lucio 3 2013 Uniqueness for elliptic problems with Hölder-type dependence on the solution. Zbl 1268.35054 Boccardo, Lucio; Porretta, Alessio 1 2013 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045 Boccardo, Lucio; Gallouët, Thierry 37 2012 Nonlinear degenerate elliptic problems with \(W^{1,1}_0(\Omega)\) solutions. Zbl 1237.35073 Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 37 2012 A Dirichlet problem with singular and supercritical nonlinearities. Zbl 1250.35112 Boccardo, Lucio 36 2012 Finite energy solutions of nonlinear Dirichlet problems with discontinuous coefficients. Zbl 1258.35095 Boccardo, Lucio 11 2012 A semilinear problem with a \(W^{1,1}_0\) solution. Zbl 1247.35037 Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 10 2012 Existence of solutions for some noncoercive elliptic problems involving derivatives of nonlinear terms. Zbl 1272.35050 Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 6 2012 Sublinear elliptic equations with singular potentials. Zbl 1254.35102 Boccardo, Lucio; Orsina, Luigi 4 2012 Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068 Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 19 2011 A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals. Zbl 1226.35040 Boccardo, Lucio 13 2011 A variational semilinear singular system. Zbl 1219.35085 Boccardo, Lucio; Orsina, Luigi 7 2011 \(W^{1,1}_0\) minima of noncoercive functionals. Zbl 1234.49013 Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 6 2011 Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079 Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco 3 2011 Lewy-Stampacchia inequality in quasilinear unilateral problems and application to the \(G\)-convergence. Zbl 1234.35115 Boccardo, Lucio 2 2011 Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081 Boccardo, Lucio; Orsina, Luigi 198 2010 Some elliptic problems with singular natural growth lower order terms. Zbl 1203.35103 Arcoya, David; Boccardo, Lucio; Leonori, Tommaso; Porretta, Alessio 48 2010 Existence and regulatiry of solutions of some elliptic problems. (Esistenza e regolarità di soluzioni di alcuni problemi ellittici.) Zbl 1326.35003 Boccardo, Lucio; Croce, Gisella 14 2010 The Fatou lemma approach to the existence in quasilinear elliptic equations with natural growth terms. Zbl 1194.35178 Boccardo, Lucio 4 2010 Some developments on Dirichlet problems with discontinuous coefficients. Zbl 1178.35367 Boccardo, Lucio 56 2009 Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data. Zbl 1174.35038 Boccardo, Lucio 24 2009 Summability and existence results for nonlinear parabolic equations. Zbl 1171.35400 Boccardo, Lucio; Porzio, Maria Michaela; Primo, Ana 17 2009 A nonlinear interpolation result with application to the summability of minima of some integral functionals. Zbl 1369.35017 Boccardo, Lucio; Giachetti, Daniela 7 2009 ...and 117 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,906 Authors 131 Boccardo, Lucio 65 Orsina, Luigi 45 Benkirane, Abdelmoujib 40 Porzio, Maria Michaela 39 Murat, François 36 Redwane, Hicham 33 Peral Alonso, Ireneo 32 Bennouna, Jaouad 30 Abdellaoui, Boumediene 30 Porretta, Alessio 28 Arcoya, David 26 Azroul, Elhoussine 26 Kovalevsky, Alexander Albertovich 25 Mingione, Giuseppe 25 Rhoudaf, Mohamed 24 Byun, Sun-Sig 24 Mercaldo, Anna 24 Segura de León, Sergio 23 El Hadfi, Youssef 23 Martínez-Aparicio, Pedro J. 23 Petitta, Francesco 22 Akdim, Youssef 22 El Moumni, Mostafa 22 Roubíček, Tomáš 21 Cirmi, Giuseppa Rita 21 Giachetti, Daniela 21 Guibé, Olivier 21 Hjiaj, Hassane 20 Papageorgiou, Nikolaos S. 19 Carmona Tapia, Jose 19 Kuusi, Tuomo 19 Rakotoson, Jean-Michel 18 Chlebicka, Iwona 18 Cianchi, Andrea 18 Gallouët, Thierry 18 Garain, Prashanta 18 Oliva, Francescantonio 18 Ouaro, Stanislas 17 Abdellaoui, Mohammed Amin 17 Casado-Díaz, Juan 17 Klimsiak, Tomasz 17 Primo, Ana R. 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