Edit Profile (opens in new tab) Boccardo, Lucio Compute Distance To: Compute Author ID: boccardo.lucio Published as: Boccardo, Lucio; Boccardo, L. External Links: ORCID · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 233 Publications since 1973, including 2 Books 2 Contributions as Editor Co-Authors: 60 Co-Authors with 179 Joint Publications 1,480 Co-Co-Authors all top 5 Co-Authors 55 single-authored 56 Orsina, Luigi 24 Murat, François 19 Gallouët, Thierry 17 Arcoya, David 10 Cirmi, Giuseppa Rita 10 Croce, Gisella 10 Porzio, Maria Michaela 9 Giachetti, Daniela 8 Puel, Jean-Pierre 7 Bensoussan, Alain 6 Capuzzo Dolcetta, Italo 5 Peral Alonso, Ireneo 5 Porretta, Alessio 4 Buccheri, Stefano 4 Dall’Aglio, Andrea 4 Leonori, Tommaso 4 Moreno-Mérida, Lourdes 4 Vazquez, Juan Luis 3 Casado-Díaz, Juan 3 Dacorogna, Bernard 3 Escobedo Martínez, Miguel 3 Marcellini, Paolo 3 Pellacci, Benedetta 2 Brézis, Haïm 2 Buttazzo, Giuseppe 2 de Thélin, François 2 Díaz Díaz, Jesús Ildefonso 2 Drábek, Pavel 2 Ferone, Vincenzo 2 Fleckinger, Jacqueline 2 Kučera, Milan 2 Leone, Chiara 2 Primo, Ana R. M. 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 Imparato, Pasquale 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 Santos, Carlos Alberto P. 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 8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Journal of Differential Equations 7 Differential and Integral Equations 7 Nonlinear Analysis. Theory, Methods & Applications 6 Advanced Nonlinear Studies 5 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 5 Asymptotic Analysis 5 Journal of Evolution Equations 5 Milan Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 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 Journal of Convex Analysis 4 Bollettino dell’Unione Matematica Italiana 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Optimization 3 Ricerche di Matematica 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Bollettino dell’Unione Matematica Italiana. Series IX 2 Applicable Analysis 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 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Revista Matemática Complutense 2 Communications on Pure and Applied Analysis 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 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 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Mediterranean Journal of Mathematics 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 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 Journal of Elliptic and Parabolic Equations 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 Probability, Uncertainty and Quantitative Risk all top 5 Fields 209 Partial differential equations (35-XX) 59 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 185 Publications have been cited 4,595 times in 2,005 Documents Cited by ▼ Year ▼ Nonlinear elliptic and parabolic equations involving measure data. Zbl 0707.35060Boccardo, Lucio; Gallouët, Thierry 494 1989 An \(L^ 1\)-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Zbl 0866.35037Bénilan, Philippe; Boccardo, Lucio; Gallouët, Thierry; Gariepy, Ron; Pierre, Michel; Vazquez, Juan Luis 396 1995 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 286 1992 Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Zbl 0783.35020Boccardo, Lucio; Murat, François 234 1992 Nonlinear parabolic equations with measure data. Zbl 0887.35082Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 158 1997 Existence of bounded solutions for non linear elliptic unilateral problems. Zbl 0687.35042Boccardo, L.; Murat, F.; Puel, J. P. 157 1988 Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Zbl 0857.35126Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 144 1996 Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081Boccardo, Lucio; Orsina, Luigi 134 2010 \(L^{\infty{}}\) estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033Boccardo, L.; Murat, F.; Puel, J.-P. 102 1992 Some remarks on a system of quasilinear elliptic equations. Zbl 1011.35050Boccardo, Lucio; Guedes de Figueiredo, Djairo 84 2002 Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms. Zbl 0803.35046Boccardo, L.; Giachetti, D.; Diaz, J. I.; Murat, F. 83 1993 Existence results for nonlinear elliptic equations with degenerate coercivity. Zbl 1105.35040Alvino, Angelo; Boccardo, Lucio; Ferone, V.; Orsina, Luigi; Trombetti, Guido 80 2003 On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042Bensoussan, A.; Boccardo, L.; Murat, F. 80 1988 Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data. Zbl 0810.35021Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 74 1993 Existence de solutions non bornées pour certaines équations quasi- linéaires. Zbl 0524.35041Boccardo, L.; Murat, F.; Puel, J. P. 71 1982 Résultats d’existence pour certains problèmes elliptiques quasilinéaires. (Existence results for certain quasilinear elliptic problems). Zbl 0557.35051Boccardo, L.; Murat, F.; Puel, J. P. 70 1984 Strongly nonlinear elliptic equations having natural growth terms and \(L^ 1\) data. Zbl 0795.35031Boccardo, L.; Gallouet, T. 62 1992 Existence results for some quasilinear parabolic equations. Zbl 0705.35066Boccardo, Lucio; Murat, François; Puel, Jean-Pierre 57 1989 Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030Boccardo, Lucio; Marcellini, Paolo 54 1976 Existence and nonexistence of solutions for some nonlinear elliptic equations. Zbl 0898.35035Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 53 1997 Critical points for multiple integrals of the calculus of variations. Zbl 0884.58023Arcoya, David; Boccardo, Lucio 50 1996 Existence and regularity results for some elliptic equations with degenerate coercivity. Zbl 0911.35049Boccardo, Lucio; Dall’Aglio, Andrea; Orsina, Luigi 50 1998 Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034Boccardo, Lucio 47 2008 A Dirichlet problem involving critical exponents. Zbl 0828.35042Boccardo, Lucio; Escobedo, Miguel; Peral, Ireneo 46 1995 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 46 1990 Some nonlinear Dirichlet problems in \(L^ 1\) involving lower order terms in divergence form. Zbl 0889.35034Boccardo, L. 44 1996 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 0588.35041Boccardo, L.; Murat, F.; Puel, J.-P. 44 1983 Existence and uniqueness of solution of unilateral problems with \(L^1\) data. Zbl 0958.47038Boccardo, L.; Cirmi, G. R. 41 1999 Anisotropic equations in \(L^ 1\). Zbl 0838.35048Boccardo, L.; Gallouet, T.; Marcellini, P. 40 1996 Some developments on Dirichlet problems with discontinuous coefficients. Zbl 1178.35367Boccardo, Lucio 40 2009 Some elliptic problems with singular natural growth lower order terms. Zbl 1203.35103Arcoya, David; Boccardo, Lucio; Leonori, Tommaso; Porretta, Alessio 39 2010 Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term. Zbl 1134.35358Boccardo, Lucio; Segura de León, Sergio; Trombetti, Cristina 37 2001 Generalization of Fredholm alternative for nonlinear differential operators. Zbl 0623.34031Boccardo, Lucio; Drábek, Pavel; Giachetti, Daniela; Kučera, Milan 37 1986 Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 1178.35183Boccardo, Lucio; Brezis, Haïm 35 2003 Unicité de la solution de certaines équations elliptiques non linéaires. (Uniqueness of the solution of some nonlinear elliptic equations). Zbl 0789.35056Boccardo, Lucio; Gallouët, Thierry; Murat, François 28 1992 Some remarks on critical point theory for nondifferentiable functionals. Zbl 0923.35049Arcoya, David; Boccardo, Lucio 28 1999 Nonlinear degenerate elliptic problems with \(W^{1,1}_0(\Omega)\) solutions. Zbl 1237.35073Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 27 2012 Remarques sur l’homogénéisation de certains problèmes quasi- linéaires. Zbl 0524.35042Boccardo, Lucio; Murat, François 27 1982 Regularizing effect of the interplay between coefficients in some elliptic equations. Zbl 1317.35082Arcoya, David; Boccardo, Lucio 26 2015 A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential. Zbl 1387.35119Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo 25 2006 A Dirichlet problem with singular and supercritical nonlinearities. Zbl 1250.35112Boccardo, Lucio 25 2012 Dirichlet problems with singular convection terms and applications. Zbl 1376.35028Boccardo, Lucio 25 2015 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045Boccardo, Lucio; Gallouët, Thierry 24 2012 Sublinear equations in \(L^ s\). Zbl 0803.35047Boccardo, L.; Orsina, L. 22 1994 Problèmes unilatéraux avec données dans \(L^ 1\). (Unilateral problems with \(L^ 1\) data). Zbl 0715.49013Boccardo, Lucio; Gallouet, Thierry 22 1990 Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data. Zbl 1174.35038Boccardo, Lucio 20 2009 Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 20 1999 Regularizing effect of \(L^q\) interplay between coefficients in some elliptic equations. Zbl 1390.35067Arcoya, David; Boccardo, Lucio 20 2018 Quelques propriétés des opérateurs elliptiques quasi linéaires. (Some properties of quasilinear elliptic operators). Zbl 0696.35050Boccardo, Lucio; Murat, François; Puel, Jean-Pierre 19 1988 Some properties of solutions of some semilinear elliptic singular problems and applications to the \(G\)-convergence. Zbl 1288.35263Boccardo, Lucio; Casado-Díaz, Juan 18 2014 Some noncoercive parabolic equations with lower order terms in divergence form. Zbl 1032.35104Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 18 2003 Existence of a solution for a weaker form of a nonlinear elliptic equation. Zbl 0703.35063Boccardo, L.; Diaz, J. I.; Giachetti, D.; Murat, F. 17 1989 \(H\) convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008Bensoussan, A.; Boccardo, L.; Murat, F. 16 1992 Two linear noncoercive Dirichlet problems in duality. Zbl 1398.35036Boccardo, Lucio; Buccheri, Stefano; Cirmi, Giuseppa Rita 16 2018 A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033Boccardo, L.; Gallouët, T.; Murat, F. 15 1993 Summability and existence results for nonlinear parabolic equations. Zbl 1171.35400Boccardo, Lucio; Porzio, Maria Michaela; Primo, Ana 15 2009 Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046Bensoussan, Alain; Boccardo, Lucio 15 2002 Some Dirichlet problems with data in large Sobolev spaces. (Quelques problèmes de Dirichlet avec données dans de grands espaces de Sobolev.) Zbl 0896.35046Boccardo, Lucio 15 1997 Homogenization of elliptic equations with principal part not in divergence form and Hamiltonian with quadratic growth. Zbl 0602.35030Bensoussan, A.; Boccardo, L.; Murat, F. 14 1986 A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals. Zbl 1226.35040Boccardo, Lucio 13 2011 Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities. Zbl 1289.35098Arcoya, David; Boccardo, Lucio 13 2013 Existence results for Dirichlet problems in \(L^ 1\) via Minty’s lemma. Zbl 1034.35033Boccardo, Lucio; Orsina, Luigi 13 2000 Existence results via regularity for some nonlinear elliptic problems. Zbl 0678.35035Boccardo, Lucio; Giachetti, Daniela 13 1989 On the regularizing effect of strongly increasing lower order terms. Zbl 1225.35085Boccardo, Lucio 12 2003 Elliptic and parabolic differential problems with measure data. Zbl 0893.35131Boccardo, Lucio 12 1997 G-convergenza e problema di Dirichlet unilaterale. Zbl 0337.35023Boccardo, L.; Dolcetta, I. Capuzzo 12 1975 Nouveaux résultats de convergence dans des problèmes unilateraux. Zbl 0484.49009Boccardo, L.; Murat, F. 11 1982 Elliptic partial differential equations. Existence and regularity of distributional solutions. Zbl 1293.35001Boccardo, Lucio; Croce, Gisella 11 2013 Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 11 2011 Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 11 2001 Homogenization of nonlinear unilateral problems. Zbl 0749.49009Boccardo, Lucio; Murat, François 10 1991 Bounded solutions for a class of quasi-linear parabolic problems with a quadratic gradient term. Zbl 1028.35058Boccardo, Lucio; Porzio, Maria Michaela 10 2002 Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 10 2016 Some elliptic problems with degenerate coercivity. Zbl 1161.35381Boccardo, Lucio 10 2006 Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102Arcoya, David; Boccardo, Lucio; Orsina, Luigi 10 2013 A semilinear problem with a \(W^{1,1}_0\) solution. Zbl 1247.35037Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 9 2012 Some degenerate parabolic problems: existence and decay properties. Zbl 1295.35272Boccardo, Lucio; Porzio, Maria Michaela 9 2014 A property of nonlinear elliptic equations when the right-hand side is a measure. Zbl 0807.35034Boccardo, Lucio; Murat, François 9 1994 Existence results for \(L^1\) data of some quasi-linear parabolic problems with a quadratic gradient term and source. Zbl 1032.35099Andreu, F.; Segura de Léon, S.; Boccardo, L.; Orsina, L. 9 2002 Existence and regularity of minima for integral functionals noncoercive in the energy space. Zbl 1015.49014Boccardo, Lucio; Orsina, Luigi 9 1997 Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023Boccardo, Lucio; Orsina, Luigi 9 2018 Strongly nonlinear unilateral problems. Zbl 0535.49010Boccardo, Lucio; Giachetti, Daniela 9 1983 Landesman-Lazer conditions for strongly nonlinear boundary value problems. Zbl 0706.35051Boccardo, Lucio; Drábek, Pavel; Kučera, Milan 9 1989 Existence and regulatiry of solutions of some elliptic problems. (Esistenza e regolarità di soluzioni di alcuni problemi ellittici.) Zbl 1326.35003Boccardo, Lucio; Croce, Gisella 9 2010 An \(L^ s\)-estimate for the gradient of solutions of some nonlinear unilateral problems. Zbl 0599.49009Boccardo, Lucio 9 1985 Existence of finite energy solutions for elliptic systems with \(L^1\)-valued nonlinearities. Zbl 1158.35029Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 8 2008 Existence of critical points for some noncoercive functionals. Zbl 1035.49007Arcoya, David; Boccardo, Lucio; Orsina, Luigi 8 2001 \(T\)-minima: an approach to minimization problems in \(L^1\). Zbl 1009.49002Boccardo, Lucio 8 2000 A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms. Zbl 1326.35143Boccardo, Lucio; Moreno-Mérida, Lourdes; Orsina, Luigi 8 2015 Stabilita delle soluzioni di disequazioni variazionali ellittiche e paraboliche quasi lineari. Zbl 0408.49011Boccardo, Lucio; Dolcetta, Italo Capuzzo 7 1978 Positive solutions for some quasilinear elliptic equations with natural growths. Zbl 0970.35061Boccardo, Lucio 7 2000 The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions. Zbl 0866.35038Boccardo, L.; Peral, I.; Vazquez, J. L. 7 1996 A quasilinear elliptic system with natural growth terms. Zbl 1330.35124Boccardo, Lucio; Orsina, Luigi; Puel, Jean-Pierre 7 2015 Some observations on the regularity of the solutions of strongly nonlinear problems and applications. Zbl 0627.35034Boccardo, Lucio; Giachetti, Daniela 7 1985 A nonlinear interpolation result with application to the summability of minima of some integral functionals. Zbl 1369.35017Boccardo, Lucio; Giachetti, Daniela 6 2009 Stampacchia-Caldéron-Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. Zbl 1437.35231Boccardo, Lucio 6 2019 Sublinear elliptic systems with a convection term. Zbl 1454.35110Boccardo, Lucio; Orsina, Luigi 6 2020 Summability of the solutions of nonlinear elliptic equations with right hand side measures. Zbl 0869.35108Boccardo, Lucio; Gallouet, Thierry 6 1996 Regularity of minimizing sequences for functionals of the calculus of variations via the Ekeland principle. Zbl 1007.49024Boccardo, Lucio; Ferone, Vincenzo; Fusco, Nicola; Orsina, Luigi 6 1999 Very singular solutions for linear Dirichlet problems with singular convection terms. Zbl 1437.35382Boccardo, Lucio; Orsina, Luigi 6 2020 Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers. Zbl 1498.35256Boccardo, Lucio; Maia, Liliane; Pellacci, Benedetta 1 2022 Maximum principle thanks to interplay between coefficients in some Dirichlet problems. Zbl 1453.35035Arcoya, David; Boccardo, Lucio 1 2021 Regularity results and asymptotic behavior for a noncoercive parabolic problem. Zbl 1470.35091Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 1 2021 Sublinear elliptic systems with a convection term. Zbl 1454.35110Boccardo, Lucio; Orsina, Luigi 6 2020 Very singular solutions for linear Dirichlet problems with singular convection terms. Zbl 1437.35382Boccardo, Lucio; Orsina, Luigi 6 2020 Calderon-Zygmund-Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift. Zbl 1448.35144Boccardo, L.; Buccheri, S.; Cirmi, G. R. 4 2020 Regularizing effect of the interplay between coefficients in some nonlinear Dirichlet problems with distributional data. Zbl 1453.35081Arcoya, David; Boccardo, Lucio; Orsina, Luigi 4 2020 Strong maximum principle for some quasilinear Dirichlet problems having natural growth terms. Zbl 1439.35106Boccardo, Lucio; Orsina, Luigi 2 2020 Stampacchia-Caldéron-Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. Zbl 1437.35231Boccardo, Lucio 6 2019 Two semilinear Dirichlet problems “almost” in duality. Zbl 1436.35170Boccardo, Lucio 4 2019 Finite energy weak solutions to some Dirichlet problems with very singular drift. Zbl 1463.35217Boccardo, Lucio 3 2019 Some cases of weak continuity in nonlinear Dirichlet problems. Zbl 1435.35157Boccardo, Lucio 1 2019 Regularizing effect of \(L^q\) interplay between coefficients in some elliptic equations. Zbl 1390.35067Arcoya, David; Boccardo, Lucio 20 2018 Two linear noncoercive Dirichlet problems in duality. Zbl 1398.35036Boccardo, Lucio; Buccheri, Stefano; Cirmi, Giuseppa Rita 16 2018 Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023Boccardo, Lucio; Orsina, Luigi 9 2018 Regularizing effect of the lower order terms in some elliptic problems: old and new. Zbl 1394.35152Boccardo, Lucio; Orsina, Luigi 4 2018 T-minima and application to the convergence of some integral functionals with infinite energy minima. Zbl 1483.49016Boccardo, Lucio 2 2018 Critical points of non-regular integral functionals. Zbl 1404.35137Boccardo, Lucio; Pellacci, Benedetta 2 2018 The regularizing effect of lower order terms in elliptic problems involving Hardy potential. Zbl 1370.35102Adimurthi, A.; Boccardo, Lucio; Cirmi, G. Rita; Orsina, Luigi 5 2017 Some elliptic equations with \(W_0^{1,1}\) solutions. Zbl 1368.35130Boccardo, Lucio; Cirmi, G. Rita 4 2017 The role of interplay between coefficients in the \(G\)-convergence of some elliptic equations. Zbl 1386.35064Boccardo, 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 1391.35135Boccardo, L.; Murat, F. 3 2017 Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations. Zbl 1366.35030Boccardo, Lucio; Orsina, Luigi 2 2017 Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 10 2016 Compactness of minimizing sequences. Zbl 1337.49016Boccardo, Lucio; Gallouet, Thierry 4 2016 Some borderline cases of nonlinear parabolic equations with irregular data. Zbl 1386.35222Boccardo, Lucio; Orsina, Luigi 2 2016 Regularizing effect of the interplay between coefficients in some elliptic equations. Zbl 1317.35082Arcoya, David; Boccardo, Lucio 26 2015 Dirichlet problems with singular convection terms and applications. Zbl 1376.35028Boccardo, Lucio 25 2015 A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms. Zbl 1326.35143Boccardo, Lucio; Moreno-Mérida, Lourdes; Orsina, Luigi 8 2015 A quasilinear elliptic system with natural growth terms. Zbl 1330.35124Boccardo, Lucio; Orsina, Luigi; Puel, Jean-Pierre 7 2015 \(W_0^{1, 1}\) solutions of some unilateral problems. Zbl 1320.35123Boccardo, Lucio; Cirmi, G. Rita 5 2015 Elliptic systems of Schrödinger type in the spirit of Benci-Fortunato. Zbl 1328.35042Boccardo, Lucio 5 2015 Parabolic equations with singular and supercritical reaction terms. Zbl 1374.35193Boccardo, Lucio; Escobedo, Miguel; Porzio, Maria Michaela 5 2015 Leray-Lions operators with logarithmic growth. Zbl 1308.35093Boccardo, Lucio; Orsina, Luigi 4 2015 A failing in the Calderon-Zygmund theory of Dirichlet problems for linear equations with discontinuous coefficients. Zbl 1330.35491Boccardo, Lucio 3 2015 An elliptic system with degenerative coercivity. Zbl 1357.35120Boccardo, Lucio; Croce, Gisella; Tanteri, Chiara 2 2015 Existence of solutions and regularizing effect for some elliptic nonlinear problems with nonhomogeneous Neumann boundary conditions. Zbl 1319.35061Boccardo, L.; Mazón, J. M. 2 2015 \(G\)-convergence in a semilinear problem with a \(W_0^{1,1}\) solution. Zbl 1331.35142Boccardo, Lucio; Casado-Díaz, Juan 1 2015 \(W^{1,1}(\omega)\) solutions of nonlinear problems with nonhomogeneous Neumann boundary conditions. Zbl 1336.35163Boccardo, Lucio; Moreno-Mérida, Lourdes 1 2015 A quasilinear elliptic equation with \(W_0^{1,1}\)-solutions. Zbl 1322.35034Boccardo, Lucio 1 2015 Some properties of solutions of some semilinear elliptic singular problems and applications to the \(G\)-convergence. Zbl 1288.35263Boccardo, Lucio; Casado-Díaz, Juan 18 2014 Some degenerate parabolic problems: existence and decay properties. Zbl 1295.35272Boccardo, Lucio; Porzio, Maria Michaela 9 2014 \(W_0^{1,1}\) solutions in some borderline cases of elliptic equations with degenerate coercivity. Zbl 1321.35053Boccardo, Lucio; Croce, Gisella 4 2014 Some existence and regularity results by Neil Trudinger revisited without the weighted Sobolev spaces framework. Zbl 1377.35116Boccardo, Lucio; Cirmi, G. Rita 1 2014 Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities. Zbl 1289.35098Arcoya, David; Boccardo, Lucio 13 2013 Elliptic partial differential equations. Existence and regularity of distributional solutions. Zbl 1293.35001Boccardo, Lucio; Croce, Gisella 11 2013 Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102Arcoya, David; Boccardo, Lucio; Orsina, Luigi 10 2013 The effect of a linear term in some nonlinear elliptic equations with singular data. Zbl 1288.35267Boccardo, Lucio 3 2013 \({W^{1,1}_0}\)-solutions for elliptic problems having gradient quadratic lower order terms. Zbl 1288.35259Arcoya, David; Boccardo, Lucio; Leonori, Tommaso 2 2013 Uniqueness for elliptic problems with Hölder-type dependence on the solution. Zbl 1268.35054Boccardo, Lucio; Porretta, Alessio 1 2013 Nonlinear degenerate elliptic problems with \(W^{1,1}_0(\Omega)\) solutions. Zbl 1237.35073Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 27 2012 A Dirichlet problem with singular and supercritical nonlinearities. Zbl 1250.35112Boccardo, Lucio 25 2012 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045Boccardo, Lucio; Gallouët, Thierry 24 2012 A semilinear problem with a \(W^{1,1}_0\) solution. Zbl 1247.35037Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 9 2012 Finite energy solutions of nonlinear Dirichlet problems with discontinuous coefficients. Zbl 1258.35095Boccardo, Lucio 5 2012 Existence of solutions for some noncoercive elliptic problems involving derivatives of nonlinear terms. Zbl 1272.35050Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 3 2012 Sublinear elliptic equations with singular potentials. Zbl 1254.35102Boccardo, Lucio; Orsina, Luigi 3 2012 A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals. Zbl 1226.35040Boccardo, Lucio 13 2011 Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 11 2011 \(W^{1,1}_0\) minima of noncoercive functionals. Zbl 1234.49013Boccardo, Lucio; Croce, Gisella; Orsina, Luigi 5 2011 A variational semilinear singular system. Zbl 1219.35085Boccardo, Lucio; Orsina, Luigi 3 2011 Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco 3 2011 Lewy-Stampacchia inequality in quasilinear unilateral problems and application to the \(G\)-convergence. Zbl 1234.35115Boccardo, Lucio 2 2011 Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081Boccardo, Lucio; Orsina, Luigi 134 2010 Some elliptic problems with singular natural growth lower order terms. Zbl 1203.35103Arcoya, David; Boccardo, Lucio; Leonori, Tommaso; Porretta, Alessio 39 2010 Existence and regulatiry of solutions of some elliptic problems. (Esistenza e regolarità di soluzioni di alcuni problemi ellittici.) Zbl 1326.35003Boccardo, Lucio; Croce, Gisella 9 2010 The Fatou lemma approach to the existence in quasilinear elliptic equations with natural growth terms. Zbl 1194.35178Boccardo, Lucio 2 2010 Some developments on Dirichlet problems with discontinuous coefficients. Zbl 1178.35367Boccardo, Lucio 40 2009 Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data. Zbl 1174.35038Boccardo, Lucio 20 2009 Summability and existence results for nonlinear parabolic equations. Zbl 1171.35400Boccardo, Lucio; Porzio, Maria Michaela; Primo, Ana 15 2009 A nonlinear interpolation result with application to the summability of minima of some integral functionals. Zbl 1369.35017Boccardo, Lucio; Giachetti, Daniela 6 2009 A Calderón-Zygmund theory for infinite energy minima of some integral functionals. Zbl 1225.42010Boccardo, Lucio 4 2009 \(H\)-convergence of singular solutions of some Dirichlet problems with terms of order one. Zbl 1179.35104Boccardo, Lucio; Casado-Diaz, Juan 2 2009 Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034Boccardo, Lucio 47 2008 Existence of finite energy solutions for elliptic systems with \(L^1\)-valued nonlinearities. Zbl 1158.35029Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 8 2008 Local properties of solutions of elliptic equations depending on local properties of the data. Zbl 1173.35488Boccardo, Lucio; Leonori, Tommaso 3 2008 Quasilinear elliptic equations with natural growth. Zbl 1212.35078Abdellaoui, Boumediene; Boccardo, Lucio; Peral, Ireneo; Primo, Ana 5 2007 A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential. Zbl 1387.35119Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo 25 2006 Some elliptic problems with degenerate coercivity. Zbl 1161.35381Boccardo, Lucio 10 2006 Minimization problems with singular data. Zbl 1214.35018Boccardo, Lucio 5 2006 Quasilinear elliptic equations with subquadratic growth. Zbl 1293.35122Boccardo, Lucio; Porzio, Maria Michaela 4 2006 Quasilinear elliptic equations with natural growth terms: the regularizing effect of the lower order terms. Zbl 1206.35121Boccardo, Lucio 1 2006 Hardy potentials and quasi-linear elliptic problems having natural growth terms. Zbl 1124.35019Boccardo, Lucio 6 2005 Existence results for nonlinear elliptic equations with degenerate coercivity. Zbl 1105.35040Alvino, Angelo; Boccardo, Lucio; Ferone, V.; Orsina, Luigi; Trombetti, Guido 80 2003 Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 1178.35183Boccardo, Lucio; Brezis, Haïm 35 2003 Some noncoercive parabolic equations with lower order terms in divergence form. Zbl 1032.35104Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio 18 2003 On the regularizing effect of strongly increasing lower order terms. Zbl 1225.35085Boccardo, Lucio 12 2003 Bounded positive critical points of some multiple integrals of the calculus of variations. Zbl 1096.35038Boccardo, Lucio; Pellacci, Benedetta 4 2003 The summability of solutions to variational problems since Guido Stampacchia. Zbl 1129.35371Boccardo, Lucio 3 2003 Some remarks on a system of quasilinear elliptic equations. Zbl 1011.35050Boccardo, Lucio; Guedes de Figueiredo, Djairo 84 2002 Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046Bensoussan, Alain; Boccardo, Lucio 15 2002 Bounded solutions for a class of quasi-linear parabolic problems with a quadratic gradient term. Zbl 1028.35058Boccardo, Lucio; Porzio, Maria Michaela 10 2002 Existence results for \(L^1\) data of some quasi-linear parabolic problems with a quadratic gradient term and source. Zbl 1032.35099Andreu, F.; Segura de Léon, S.; Boccardo, L.; Orsina, L. 9 2002 A remark on some nonlinear elliptic problems. Zbl 1034.35032Boccardo, Lucio 2 2002 Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term. Zbl 1134.35358Boccardo, Lucio; Segura de León, Sergio; Trombetti, Cristina 37 2001 Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 11 2001 Existence of critical points for some noncoercive functionals. Zbl 1035.49007Arcoya, David; Boccardo, Lucio; Orsina, Luigi 8 2001 The Bensoussan & Co. technique for the study of some critical points problems. Zbl 1054.58501Boccardo, Lucio 1 2001 Existence results for Dirichlet problems in \(L^ 1\) via Minty’s lemma. Zbl 1034.35033Boccardo, Lucio; Orsina, Luigi 13 2000 \(T\)-minima: an approach to minimization problems in \(L^1\). Zbl 1009.49002Boccardo, Lucio 8 2000 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,606 Authors 110 Boccardo, Lucio 56 Orsina, Luigi 38 Murat, François 36 Porzio, Maria Michaela 34 Benkirane, Abdelmoujib 30 Peral Alonso, Ireneo 28 Porretta, Alessio 27 Redwane, Hicham 26 Abdellaoui, Boumediene 26 Arcoya, David 25 Mingione, Giuseppe 24 Bennouna, Jaouad 24 Kovalevsky, Alexander Albertovich 22 Cirmi, Giuseppa Rita 21 Martínez-Aparicio, Pedro J. 19 Giachetti, Daniela 19 Kuusi, Tuomo 19 Mercaldo, Anna 19 Petitta, Francesco 19 Segura de León, Sergio 18 Papageorgiou, Nikolaos S. 17 Carmona Tapia, Jose 17 Guibé, Olivier 17 Klimsiak, Tomasz 17 Rhoudaf, Mohamed 16 Azroul, Elhoussine 16 Byun, Sun-Sig 16 El Moumni, Mostafa 16 Gallouët, Thierry 16 Primo, Ana R. M. 16 Roubíček, Tomáš 15 Andreu, Fuensanta 15 Candela, Anna Maria 15 Cianchi, Andrea 15 Li, Fengquan 14 Casado-Díaz, Juan 14 Leonardi, Salvatore 14 Leonori, Tommaso 14 Ouaro, Stanislas 14 Rakotoson, Jean-Michel 13 Dal Maso, Gianni 13 Mazón Ruiz, José M. 13 Moscariello, Gioconda 13 Oliva, Francescantonio 12 Chlebicka, Iwona 12 Dall’Aglio, Andrea 12 Feo, Filomena 12 Gwiazda, Piotr 12 Marcellini, Paolo 12 Miyagaki, Olimpio Hiroshi 12 Sbordone, Carlo 12 Wittbold, Petra 12 Zou, Weilin 11 Aberqi, Ahmed 11 Akdim, Youssef 11 Betta, Maria Francesca 11 Blanchard, Dominique 11 Garain, Prashanta 11 Maz’ya, Vladimir Gilelevich 11 Santos, Carlos Alberto P. 11 Sciunzi, Berardino 11 Wang, Zhi-Qiang 10 Choudhuri, Debajyoti 10 D’asero, Salvatore 10 El Hadfi, Youssef 10 Greco, Luigi 10 Hjiaj, Hassane 10 Leonetti, Francesco 10 Mokhtari, Fares 10 Nicolosi, Francesco 10 Squassina, Marco 10 Youssfi, Ahmed 9 Afrouzi, Ghasem Alizadeh 9 Bendahmane, Mostafa 9 Bidaut-Veron, Marie-Françoise 9 Bulíček, Miroslav 9 Caselles Costa, Vicent 9 Díaz Díaz, Jesús Ildefonso 9 Donato, Patrizia 9 Huang, Shuibo 9 Liu, Jiaquan 9 Parviainen, Mikko 9 Ponce, Augusto C. 9 Sreenadh, Konijeti 9 Zatorska-Goldstein, Anna 8 Alberico, Angela 8 Baroni, Paolo 8 Buccheri, Stefano 8 de Cave, Linda Maria 8 di Castro, Agnese 8 Gao, Hongya 8 Kogut, Peter I. 8 Kozhevnikova, Larisa Mikhaĭlovna 8 Moreno-Mérida, Lourdes 8 Nguyen Cong Phuc 8 Passarelli di Napoli, Antonia 8 Rossi, Julio Daniel 8 Rozkosz, Andrzej 8 Tang, Chun-Lei 8 Véron, Laurent ...and 1,506 more Authors all top 5 Cited in 274 Serials 212 Nonlinear Analysis. 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Modélisation Mathématique et Analyse Numérique 4 Revista Matemática Iberoamericana 4 Asymptotic Analysis ...and 174 more Serials all top 5 Cited in 41 Fields 1,838 Partial differential equations (35-XX) 217 Calculus of variations and optimal control; optimization (49-XX) 139 Functional analysis (46-XX) 129 Operator theory (47-XX) 73 Fluid mechanics (76-XX) 69 Global analysis, analysis on manifolds (58-XX) 60 Numerical analysis (65-XX) 60 Mechanics of deformable solids (74-XX) 45 Potential theory (31-XX) 44 Ordinary differential equations (34-XX) 39 Probability theory and stochastic processes (60-XX) 38 Classical thermodynamics, heat transfer (80-XX) 27 Biology and other natural sciences (92-XX) 22 Measure and integration (28-XX) 18 Real functions (26-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Systems theory; control (93-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Integral equations (45-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 General topology (54-XX) 5 Operations research, mathematical programming (90-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Approximations and expansions (41-XX) 3 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year