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Boccardo, Lucio

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 Author ID: boccardo.lucio Published as: Boccardo, L.; Boccardo, Lucio External Links: ORCID · ResearchGate · dblp · GND
 Documents Indexed: 218 Publications since 1973, including 3 Books
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Co-Authors

 52 single-authored 49 Orsina, Luigi 24 Murat, François 19 Gallouët, Thierry 15 Arcoya, David 10 Croce, Gisella 9 Cirmi, Giuseppa Rita 9 Giachetti, Daniela 8 Porzio, Maria Michaela 8 Puel, Jean-Pierre 7 Bensoussan, Alain 6 Capuzzo Dolcetta, Italo 5 Peral Alonso, Ireneo 5 Porretta, Alessio 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 2 Brézis, Haïm 2 Buccheri, Stefano 2 Buttazzo, Giuseppe 2 de Thélin, François 2 Diaz Diaz, Jesus Ildefonso 2 Drábek, Pavel 2 Ferone, Vincenzo 2 Fleckinger, Jacqueline 2 Kučera, Milan 2 Leone, Chiara 2 Pellacci, Benedetta 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 Matzeu, Michele 1 Mazón Ruiz, José M. 1 Petitta, Francesco 1 Pierre, Michel 1 Ponce, Augusto C. 1 Sbordone, Carlo 1 Schianchi, Rosanna 1 Tanteri, Chiara 1 Tesei, Alberto 1 Trombetti, Cristina 1 Trombetti, Guido
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Serials

 11 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 5 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 5 Asymptotic Analysis 5 Advanced Nonlinear Studies 5 Milan Journal of Mathematics 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 Journal of Evolution Equations 3 Journal of Mathematical Analysis and Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Optimization 3 Ricerche di Matematica 3 Bollettino dell’Unione Matematica Italiana. Series IX 3 Bollettino dell’Unione Matematica Italiana 2 Applicable Analysis 2 Manuscripta Mathematica 2 Portugaliae Mathematica 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 Applied Mathematics Letters 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 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Methods and Applications of Analysis 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 Revista Matemática Complutense 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 Communications on Pure and Applied Analysis 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 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 S$$\vec{\text{e}}$$MA Journal 1 Advances in Nonlinear Analysis
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Fields

 192 Partial differential equations (35-XX) 57 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) 2 Ordinary differential equations (34-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX)

Citations contained in zbMATH Open

176 Publications have been cited 3,925 times in 1,725 Documents Cited by Year
Nonlinear elliptic and parabolic equations involving measure data. Zbl 0707.35060
Boccardo, Lucio; Gallouët, Thierry
1989
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
1995
Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043
Boccardo, L.; Gallouet, T.
1992
Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Zbl 0783.35020
Boccardo, Lucio; Murat, François
1992
Existence of bounded solutions for non linear elliptic unilateral problems. Zbl 0687.35042
Boccardo, L.; Murat, F.; Puel, J. P.
1988
Nonlinear parabolic equations with measure data. Zbl 0887.35082
Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi
1997
Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Zbl 0857.35126
Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi
1996
Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081
Boccardo, Lucio; Orsina, Luigi
2010
$$L^{\infty{}}$$ estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033
Boccardo, L.; Murat, F.; Puel, J.-P.
1992
Some remarks on a system of quasilinear elliptic equations. Zbl 1011.35050
Boccardo, Lucio; Guedes de Figueiredo, Djairo
2002
On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042
Bensoussan, A.; Boccardo, L.; Murat, F.
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.
1993
Existence de solutions non bornées pour certaines équations quasi- linéaires. Zbl 0524.35041
Boccardo, L.; Murat, F.; Puel, J. P.
1982
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.
1984
Existence results for nonlinear elliptic equations with degenerate coercivity. Zbl 1105.35040
Alvino, Angelo; Boccardo, Lucio; Ferone, V.; Orsina, Luigi; Trombetti, Guido
2003
Nonlinear elliptic equations in $$\mathbb{R}^ N$$ without growth restrictions on the data. Zbl 0810.35021
Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis
1993
Strongly nonlinear elliptic equations having natural growth terms and $$L^ 1$$ data. Zbl 0795.35031
Boccardo, L.; Gallouet, T.
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.
1983
Existence results for some quasilinear parabolic equations. Zbl 0705.35066
Boccardo, Lucio; Murat, François; Puel, Jean-Pierre
1989
Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030
Boccardo, Lucio; Marcellini, Paolo
1976
Critical points for multiple integrals of the calculus of variations. Zbl 0884.58023
Arcoya, David; Boccardo, Lucio
1996
Existence and nonexistence of solutions for some nonlinear elliptic equations. Zbl 0898.35035
Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi
1997
A Dirichlet problem involving critical exponents. Zbl 0828.35042
Boccardo, Lucio; Escobedo, Miguel; Peral, Ireneo
1995
L$${}^{\infty}$$-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058
Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo
1990
Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034
Boccardo, Lucio
2008
Existence and regularity results for some elliptic equations with degenerate coercivity. Zbl 0911.35049
Boccardo, Lucio; Dall’Aglio, Andrea; Orsina, Luigi
1998
Generalization of Fredholm alternative for nonlinear differential operators. Zbl 0623.34031
Boccardo, Lucio; Drábek, Pavel; Giachetti, Daniela; Kučera, Milan
1986
Some nonlinear Dirichlet problems in $$L^ 1$$ involving lower order terms in divergence form. Zbl 0889.35034
Boccardo, L.
1996
Some elliptic problems with singular natural growth lower order terms. Zbl 1203.35103
Arcoya, David; Boccardo, Lucio; Leonori, Tommaso; Porretta, Alessio
2010
Anisotropic equations in $$L^ 1$$. Zbl 0838.35048
Boccardo, L.; Gallouet, T.; Marcellini, P.
1996
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
2001
Existence and uniqueness of solution of unilateral problems with $$L^1$$ data. Zbl 0958.47038
Boccardo, L.; Cirmi, G. R.
1999
Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 1178.35183
Boccardo, Lucio; Brezis, Haïm
2003
Some remarks on critical point theory for nondifferentiable functionals. Zbl 0923.35049
Arcoya, David; Boccardo, Lucio
1999
Some developments on Dirichlet problems with discontinuous coefficients. Zbl 1178.35367
Boccardo, Lucio
2009
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
1992
Remarques sur l’homogénéisation de certains problèmes quasi- linéaires. Zbl 0524.35042
Boccardo, Lucio; Murat, François
1982
A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential. Zbl 1387.35119
Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo
2006
Nonlinear degenerate elliptic problems with $$W^{1,1}_0(\Omega)$$ solutions. Zbl 1237.35073
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2012
Regularizing effect of the interplay between coefficients in some elliptic equations. Zbl 1317.35082
Arcoya, David; Boccardo, Lucio
2015
Dirichlet problems with singular convection terms and applications. Zbl 1376.35028
Boccardo, Lucio
2015
Sublinear equations in $$L^ s$$. Zbl 0803.35047
Boccardo, L.; Orsina, L.
1994
Problèmes unilatéraux avec données dans $$L^ 1$$. (Unilateral problems with $$L^ 1$$ data). Zbl 0715.49013
Boccardo, Lucio; Gallouet, Thierry
1990
Quelques propriétés des opérateurs elliptiques quasi linéaires. (Some properties of quasilinear elliptic operators). Zbl 0696.35050
Boccardo, Lucio; Murat, François; Puel, Jean-Pierre
1988
Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data. Zbl 1174.35038
Boccardo, Lucio
2009
$$W^{1,1}_0$$ solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045
Boccardo, Lucio; Gallouët, Thierry
2012
A Dirichlet problem with singular and supercritical nonlinearities. Zbl 1250.35112
Boccardo, Lucio
2012
A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033
Boccardo, L.; Gallouët, T.; Murat, F.
1993
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.
1989
Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093
Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi
1999
Some Dirichlet problems with data in large Sobolev spaces. Zbl 0896.35046
Boccardo, Lucio
1997
$$H$$ convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008
Bensoussan, A.; Boccardo, L.; Murat, F.
1992
Some noncoercive parabolic equations with lower order terms in divergence form. Zbl 1032.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2003
Regularizing effect of $$L^q$$ interplay between coefficients in some elliptic equations. Zbl 1390.35067
Arcoya, David; Boccardo, Lucio
2018
Some properties of solutions of some semilinear elliptic singular problems and applications to the $$G$$-convergence. Zbl 1288.35263
2014
Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046
Bensoussan, Alain; Boccardo, Lucio
2002
Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055
Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis
2001
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.
1986
Summability and existence results for nonlinear parabolic equations. Zbl 1171.35400
Boccardo, Lucio; Porzio, Maria Michaela; Primo, Ana
2009
Existence results for Dirichlet problems in $$L^ 1$$ via Minty’s lemma. Zbl 1034.35033
Boccardo, Lucio; Orsina, Luigi
2000
G-convergenza e problema di Dirichlet unilaterale. Zbl 0337.35023
Boccardo, L.; Dolcetta, I. Capuzzo
1975
Elliptic and parabolic differential problems with measure data. Zbl 0893.35131
Boccardo, Lucio
1997
Nouveaux résultats de convergence dans des problèmes unilateraux. Zbl 0484.49009
Boccardo, L.; Murat, F.
1982
Existence results via regularity for some nonlinear elliptic problems. Zbl 0678.35035
Boccardo, Lucio; Giachetti, Daniela
1989
Two linear noncoercive Dirichlet problems in duality. Zbl 1398.35036
Boccardo, Lucio; Buccheri, Stefano; Cirmi, Giuseppa Rita
2018
Some degenerate parabolic problems: existence and decay properties. Zbl 1295.35272
Boccardo, Lucio; Porzio, Maria Michaela
2014
A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals. Zbl 1226.35040
Boccardo, Lucio
2011
Bounded solutions for a class of quasi-linear parabolic problems with a quadratic gradient term. Zbl 1028.35058
Boccardo, Lucio; Porzio, Maria Michaela
2002
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.
2002
Homogenization of nonlinear unilateral problems. Zbl 0749.49009
Boccardo, Lucio; Murat, François
1991
Landesman-Lazer conditions for strongly nonlinear boundary value problems. Zbl 0706.35051
Boccardo, Lucio; Drábek, Pavel; Kučera, Milan
1989
Strongly nonlinear unilateral problems. Zbl 0535.49010
Boccardo, Lucio; Giachetti, Daniela
1983
Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2016
Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2013
Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068
Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela
2011
Existence and regulatiry of solutions of some elliptic problems. Zbl 1326.35003
Boccardo, Lucio; Croce, Gisella
2010
$$T$$-minima: an approach to minimization problems in $$L^1$$. Zbl 1009.49002
Boccardo, Lucio
2000
Existence and regularity of minima for integral functionals noncoercive in the energy space. Zbl 1015.49014
Boccardo, Lucio; Orsina, Luigi
1997
Some observations on the regularity of the solutions of strongly nonlinear problems and applications. Zbl 0627.35034
Boccardo, Lucio; Giachetti, Daniela
1985
An $$L^ s$$-estimate for the gradient of solutions of some nonlinear unilateral problems. Zbl 0599.49009
Boccardo, Lucio
1985
Elliptic partial differential equations. Existence and regularity of distributional solutions. Zbl 1293.35001
Boccardo, Lucio; Croce, Gisella
2013
Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities. Zbl 1289.35098
Arcoya, David; Boccardo, Lucio
2013
A semilinear problem with a $$W^{1,1}_0$$ solution. Zbl 1247.35037
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2012
Some elliptic problems with degenerate coercivity. Zbl 1161.35381
Boccardo, Lucio
2006
Existence of critical points for some noncoercive functionals. Zbl 1035.49007
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2001
The $$N$$-Laplacian elliptic equation: Variational versus entropy solutions. Zbl 0866.35038
Boccardo, L.; Peral, I.; Vazquez, J. L.
1996
Stabilita delle soluzioni di disequazioni variazionali ellittiche e paraboliche quasi lineari. Zbl 0408.49011
Boccardo, Lucio; Dolcetta, Italo Capuzzo
1978
Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023
Boccardo, Lucio; Orsina, Luigi
2018
A nonlinear interpolation result with application to the summability of minima of some integral functionals. Zbl 1369.35017
Boccardo, Lucio; Giachetti, Daniela
2009
Existence of finite energy solutions for elliptic systems with $$L^1$$-valued nonlinearities. Zbl 1158.35029
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2008
Hardy potentials and quasi-linear elliptic problems having natural growth terms. Zbl 1124.35019
Boccardo, Lucio
2005
On the regularizing effect of strongly increasing lower order terms. Zbl 1225.35085
Boccardo, Lucio
2003
Positive solutions for some quasilinear elliptic equations with natural growths. Zbl 0970.35061
Boccardo, Lucio
2000
Summability of the solutions of nonlinear elliptic equations with right hand side measures. Zbl 0869.35108
Boccardo, Lucio; Gallouet, Thierry
1996
A property of nonlinear elliptic equations when the right-hand side is a measure. Zbl 0807.35034
Boccardo, Lucio; Murat, François
1994
Stampacchia-Caldéron-Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. Zbl 1437.35231
Boccardo, Lucio
2019
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
2015
Quasilinear elliptic equations with natural growth. Zbl 1212.35078
Abdellaoui, Boumediene; Boccardo, Lucio; Peral, Ireneo; Primo, Ana
2007
Minimization problems with singular data. Zbl 1214.35018
Boccardo, Lucio
2006
Regularity of minimizing sequences for functionals of the calculus of variations via the Ekeland principle. Zbl 1007.49024
Boccardo, Lucio; Ferone, Vincenzo; Fusco, Nicola; Orsina, Luigi
1999
Very singular solutions for linear Dirichlet problems with singular convection terms. Zbl 1437.35382
Boccardo, Lucio; Orsina, Luigi
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
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.
2020
Stampacchia-Caldéron-Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. Zbl 1437.35231
Boccardo, Lucio
2019
Two semilinear Dirichlet problems “almost” in duality. Zbl 1436.35170
Boccardo, Lucio
2019
Finite energy weak solutions to some Dirichlet problems with very singular drift. Zbl 07144912
Boccardo, Lucio
2019
Some cases of weak continuity in nonlinear Dirichlet problems. Zbl 1435.35157
Boccardo, Lucio
2019
Regularizing effect of $$L^q$$ interplay between coefficients in some elliptic equations. Zbl 1390.35067
Arcoya, David; Boccardo, Lucio
2018
Two linear noncoercive Dirichlet problems in duality. Zbl 1398.35036
Boccardo, Lucio; Buccheri, Stefano; Cirmi, Giuseppa Rita
2018
Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023
Boccardo, Lucio; Orsina, Luigi
2018
Regularizing effect of the lower order terms in some elliptic problems: old and new. Zbl 1394.35152
Boccardo, Lucio; Orsina, Luigi
2018
T-minima and application to the convergence of some integral functionals with infinite energy minima. Zbl 06982364
Boccardo, Lucio
2018
Critical points of non-regular integral functionals. Zbl 1404.35137
Boccardo, Lucio; Pellacci, Benedetta
2018
Some elliptic equations with $$W_0^{1,1}$$ solutions. Zbl 1368.35130
Boccardo, Lucio; Cirmi, G. Rita
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.
2017
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
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
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.
2017
Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2016
Compactness of minimizing sequences. Zbl 1337.49016
Boccardo, Lucio; Gallouet, Thierry
2016
Some borderline cases of nonlinear parabolic equations with irregular data. Zbl 1386.35222
Boccardo, Lucio; Orsina, Luigi
2016
Regularizing effect of the interplay between coefficients in some elliptic equations. Zbl 1317.35082
Arcoya, David; Boccardo, Lucio
2015
Dirichlet problems with singular convection terms and applications. Zbl 1376.35028
Boccardo, Lucio
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
2015
A quasilinear elliptic system with natural growth terms. Zbl 1330.35124
Boccardo, Lucio; Orsina, Luigi; Puel, Jean-Pierre
2015
Parabolic equations with singular and supercritical reaction terms. Zbl 1374.35193
Boccardo, Lucio; Escobedo, Miguel; Porzio, Maria Michaela
2015
Leray-Lions operators with logarithmic growth. Zbl 1308.35093
Boccardo, Lucio; Orsina, Luigi
2015
A failing in the Calderon-Zygmund theory of Dirichlet problems for linear equations with discontinuous coefficients. Zbl 1330.35491
Boccardo, Lucio
2015
$$W_0^{1, 1}$$ solutions of some unilateral problems. Zbl 1320.35123
Boccardo, Lucio; Cirmi, G. Rita
2015
Elliptic systems of Schrödinger type in the spirit of Benci-Fortunato. Zbl 1328.35042
Boccardo, Lucio
2015
$$G$$-convergence in a semilinear problem with a $$W_0^{1,1}$$ solution. Zbl 1331.35142
2015
A quasilinear elliptic equation with $$W_0^{1,1}$$-solutions. Zbl 1322.35034
Boccardo, Lucio
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.
2015
Some properties of solutions of some semilinear elliptic singular problems and applications to the $$G$$-convergence. Zbl 1288.35263
2014
Some degenerate parabolic problems: existence and decay properties. Zbl 1295.35272
Boccardo, Lucio; Porzio, Maria Michaela
2014
$$W_0^{1,1}$$ solutions in some borderline cases of elliptic equations with degenerate coercivity. Zbl 1321.35053
Boccardo, Lucio; Croce, Gisella
2014
Some existence and regularity results by Neil Trudinger revisited without the weighted Sobolev spaces framework. Zbl 1377.35116
Boccardo, Lucio; Cirmi, G. Rita
2014
Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2013
Elliptic partial differential equations. Existence and regularity of distributional solutions. Zbl 1293.35001
Boccardo, Lucio; Croce, Gisella
2013
Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities. Zbl 1289.35098
Arcoya, David; Boccardo, Lucio
2013
The effect of a linear term in some nonlinear elliptic equations with singular data. Zbl 1288.35267
Boccardo, Lucio
2013
$${W^{1,1}_0}$$-solutions for elliptic problems having gradient quadratic lower order terms. Zbl 1288.35259
Arcoya, David; Boccardo, Lucio; Leonori, Tommaso
2013
Uniqueness for elliptic problems with Hölder-type dependence on the solution. Zbl 1268.35054
Boccardo, Lucio; Porretta, Alessio
2013
Nonlinear degenerate elliptic problems with $$W^{1,1}_0(\Omega)$$ solutions. Zbl 1237.35073
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2012
$$W^{1,1}_0$$ solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045
Boccardo, Lucio; Gallouët, Thierry
2012
A Dirichlet problem with singular and supercritical nonlinearities. Zbl 1250.35112
Boccardo, Lucio
2012
A semilinear problem with a $$W^{1,1}_0$$ solution. Zbl 1247.35037
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2012
Finite energy solutions of nonlinear Dirichlet problems with discontinuous coefficients. Zbl 1258.35095
Boccardo, Lucio
2012
Sublinear elliptic equations with singular potentials. Zbl 1254.35102
Boccardo, Lucio; Orsina, Luigi
2012
Existence of solutions for some noncoercive elliptic problems involving derivatives of nonlinear terms. Zbl 1272.35050
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2012
A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals. Zbl 1226.35040
Boccardo, Lucio
2011
Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068
Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela
2011
$$W^{1,1}_0$$ minima of noncoercive functionals. Zbl 1234.49013
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2011
Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079
Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco
2011
A variational semilinear singular system. Zbl 1219.35085
Boccardo, Lucio; Orsina, Luigi
2011
Lewy-Stampacchia inequality in quasilinear unilateral problems and application to the $$G$$-convergence. Zbl 1234.35115
Boccardo, Lucio
2011
Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081
Boccardo, Lucio; Orsina, Luigi
2010
Some elliptic problems with singular natural growth lower order terms. Zbl 1203.35103
Arcoya, David; Boccardo, Lucio; Leonori, Tommaso; Porretta, Alessio
2010
Existence and regulatiry of solutions of some elliptic problems. Zbl 1326.35003
Boccardo, Lucio; Croce, Gisella
2010
The Fatou lemma approach to the existence in quasilinear elliptic equations with natural growth terms. Zbl 1194.35178
Boccardo, Lucio
2010
Some developments on Dirichlet problems with discontinuous coefficients. Zbl 1178.35367
Boccardo, Lucio
2009
Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data. Zbl 1174.35038
Boccardo, Lucio
2009
Summability and existence results for nonlinear parabolic equations. Zbl 1171.35400
Boccardo, Lucio; Porzio, Maria Michaela; Primo, Ana
2009
A nonlinear interpolation result with application to the summability of minima of some integral functionals. Zbl 1369.35017
Boccardo, Lucio; Giachetti, Daniela
2009
A Calderón-Zygmund theory for infinite energy minima of some integral functionals. Zbl 1225.42010
Boccardo, Lucio
2009
$$H$$-convergence of singular solutions of some Dirichlet problems with terms of order one. Zbl 1179.35104
2009
Dirichlet problems with singular and gradient quadratic lower order terms. Zbl 1147.35034
Boccardo, Lucio
2008
Existence of finite energy solutions for elliptic systems with $$L^1$$-valued nonlinearities. Zbl 1158.35029
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2008
Local properties of solutions of elliptic equations depending on local properties of the data. Zbl 1173.35488
Boccardo, Lucio; Leonori, Tommaso
2008
Quasilinear elliptic equations with natural growth. Zbl 1212.35078
Abdellaoui, Boumediene; Boccardo, Lucio; Peral, Ireneo; Primo, Ana
2007
A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential. Zbl 1387.35119
Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo
2006
Some elliptic problems with degenerate coercivity. Zbl 1161.35381
Boccardo, Lucio
2006
Minimization problems with singular data. Zbl 1214.35018
Boccardo, Lucio
2006
Quasilinear elliptic equations with subquadratic growth. Zbl 1293.35122
Boccardo, Lucio; Porzio, Maria Michaela
2006
Hardy potentials and quasi-linear elliptic problems having natural growth terms. Zbl 1124.35019
Boccardo, Lucio
2005
Existence results for nonlinear elliptic equations with degenerate coercivity. Zbl 1105.35040
Alvino, Angelo; Boccardo, Lucio; Ferone, V.; Orsina, Luigi; Trombetti, Guido
2003
Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 1178.35183
Boccardo, Lucio; Brezis, Haïm
2003
Some noncoercive parabolic equations with lower order terms in divergence form. Zbl 1032.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2003
On the regularizing effect of strongly increasing lower order terms. Zbl 1225.35085
Boccardo, Lucio
2003
Bounded positive critical points of some multiple integrals of the calculus of variations. Zbl 1096.35038
Boccardo, Lucio; Pellacci, Benedetta
2003
The summability of solutions to variational problems since Guido Stampacchia. Zbl 1129.35371
Boccardo, Lucio
2003
Some remarks on a system of quasilinear elliptic equations. Zbl 1011.35050
Boccardo, Lucio; Guedes de Figueiredo, Djairo
2002
Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046
Bensoussan, Alain; Boccardo, Lucio
2002
Bounded solutions for a class of quasi-linear parabolic problems with a quadratic gradient term. Zbl 1028.35058
Boccardo, Lucio; Porzio, Maria Michaela
2002
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.
2002
A remark on some nonlinear elliptic problems. Zbl 1034.35032
Boccardo, Lucio
2002
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
2001
Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055
Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis
2001
Existence of critical points for some noncoercive functionals. Zbl 1035.49007
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2001
The Bensoussan & Co. technique for the study of some critical points problems. Zbl 1054.58501
Boccardo, Lucio
2001
Existence results for Dirichlet problems in $$L^ 1$$ via Minty’s lemma. Zbl 1034.35033
Boccardo, Lucio; Orsina, Luigi
2000
$$T$$-minima: an approach to minimization problems in $$L^1$$. Zbl 1009.49002
Boccardo, Lucio
2000
Positive solutions for some quasilinear elliptic equations with natural growths. Zbl 0970.35061
Boccardo, Lucio
2000
Positive eigenfunctions for some unbounded differential operators. Zbl 0942.35128
Boccardo, Lucio
2000
Existence and uniqueness of solution of unilateral problems with $$L^1$$ data. Zbl 0958.47038
Boccardo, L.; Cirmi, G. R.
1999
Some remarks on critical point theory for nondifferentiable functionals. Zbl 0923.35049
Arcoya, David; Boccardo, Lucio
1999
Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093
Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi
1999
Regularity of minimizing sequences for functionals of the calculus of variations via the Ekeland principle. Zbl 1007.49024
Boccardo, Lucio; Ferone, Vincenzo; Fusco, Nicola; Orsina, Luigi
1999
Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 0996.35024
Boccardo, L.; Brezis, H.
1999
Unilateral problems with degenerate coercivity. Zbl 0941.35038
Boccardo, Lucio; Cirmi, G. Rita
1999
...and 76 more Documents
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Cited by 1,455 Authors

 94 Boccardo, Lucio 49 Orsina, Luigi 38 Murat, François 31 Benkirane, Abdelmoujib 31 Porzio, Maria Michaela 29 Peral Alonso, Ireneo 28 Porretta, Alessio 25 Mingione, Giuseppe 24 Abdellaoui, Boumediene 24 Arcoya, David 23 Kovalevsky, Alexander Albertovich 21 Martínez-Aparicio, Pedro J. 20 Redwane, Hicham 19 Giachetti, Daniela 19 Kuusi, Tuomo 19 Petitta, Francesco 17 Carmona Tapia, Jose 17 Cirmi, Giuseppa Rita 17 Gallouët, Thierry 17 Mercaldo, Anna 17 Segura de León, Sergio 16 Bennouna, Jaouad 16 Klimsiak, Tomasz 16 Papageorgiou, Nikolaos S. 15 Andreu, Fuensanta 15 Guibé, Olivier 15 Primo, Ana R. M. 15 Rhoudaf, Mohamed 15 Roubíček, Tomáš 14 Cianchi, Andrea 13 Azroul, Elhoussine 13 Casado-Díaz, Juan 13 Dal Maso, Gianni 13 Leonori, Tommaso 13 Li, Fengquan 13 Mazón Ruiz, José M. 13 Rakotoson, Jean-Michel 12 Dall’Aglio, Andrea 12 El Moumni, Mostafa 12 Gwiazda, Piotr 12 Marcellini, Paolo 12 Miyagaki, Olimpio Hiroshi 12 Sbordone, Carlo 11 Blanchard, Dominique 11 Leonardi, Salvatore 11 Moscariello, Gioconda 11 Oliva, Francescantonio 11 Ouaro, Stanislas 11 Wang, Zhi-Qiang 11 Wittbold, Petra 11 Zou, Weilin 10 Bendahmane, Mostafa 10 Betta, Maria Francesca 10 Bulíček, Miroslav 10 Byun, Sun-Sig 10 Candela, Anna Maria 10 Feo, Filomena 10 Maz’ya, Vladimir Gilelevich 10 Nicolosi, Francesco 10 Squassina, Marco 9 Akdim, Youssef 9 Caselles Costa, Vicent 9 Chlebicka, Iwona 9 Greco, Luigi 9 Leonetti, Francesco 9 Liu, Jiaquan 9 Parviainen, Mikko 9 Ponce, Augusto C. 9 Sciunzi, Berardino 8 Abdellaoui, Mohammed Amin 8 Afrouzi, Ghasem Alizadeh 8 Alberico, Angela 8 Baroni, Paolo 8 de Cave, Linda Maria 8 di Castro, Agnese 8 Donato, Patrizia 8 Moreno-Mérida, Lourdes 8 Nguyen Cong Phuc 8 Passarelli di Napoli, Antonia 8 Rossi, Julio Daniel 8 Rozkosz, Andrzej 8 Zhikov, Vasiliĭ Vasil’evich 7 Alaa, Noureddine 7 Bidaut-Veron, Marie-Françoise 7 Di Blasio, Giuseppina 7 Diaz Diaz, Jesus Ildefonso 7 Gao, Hongya 7 Gao, Wenjie 7 Gossez, Jean-Pierre 7 Hjiaj, Hassane 7 Kogut, Peter I. 7 Kozhevnikova, Larisa Mikhaĭlovna 7 Leone, Chiara 7 Lewandowski, Roger 7 Rodrigues, José Francisco 7 Sreenadh, Konijeti 7 Tang, Chun-Lei 7 Youn, Yeonghun 7 Youssfi, Ahmed 7 Zatorska-Goldstein, Anna ...and 1,355 more Authors
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Cited in 237 Serials

 207 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 96 Journal of Mathematical Analysis and Applications 96 Journal of Differential Equations 57 Annali di Matematica Pura ed Applicata. Serie Quarta 51 Nonlinear Analysis. Theory, Methods & Applications 44 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 42 Journal of Functional Analysis 39 Calculus of Variations and Partial Differential Equations 30 Mediterranean Journal of Mathematics 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 NoDEA. Nonlinear Differential Equations and Applications 28 Advanced Nonlinear Studies 26 Manuscripta Mathematica 26 Complex Variables and Elliptic Equations 25 Applicable Analysis 25 Communications in Partial Differential Equations 22 Archive for Rational Mechanics and Analysis 21 Ricerche di Matematica 21 Nonlinear Analysis. Real World Applications 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 16 Communications in Contemporary Mathematics 15 Discrete and Continuous Dynamical Systems 15 Journal of Evolution Equations 14 Mathematical Methods in the Applied Sciences 14 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Journal of Mathematical Sciences (New York) 14 Boundary Value Problems 14 Discrete and Continuous Dynamical Systems. Series S 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Potential Analysis 13 Communications on Pure and Applied Analysis 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Transactions of the American Mathematical Society 10 Journal d’Analyse Mathématique 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Journal of Elliptic and Parabolic Equations 10 Bollettino dell’Unione Matematica Italiana 9 Zeitschrift für Analysis und ihre Anwendungen 9 Applied Mathematics Letters 9 SIAM Journal on Mathematical Analysis 9 Milan Journal of Mathematics 9 Boletim da Sociedade Paranaense de Matemática. Terceira Série 9 Journal of Fixed Point Theory and Applications 8 Mathematische Annalen 8 Monatshefte für Mathematik 8 Proceedings of the American Mathematical Society 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Applications of Mathematics 8 Journal of the European Mathematical Society (JEMS) 8 S$$\vec{\text{e}}$$MA Journal 8 Advances in Nonlinear Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Applied Mathematics and Computation 7 Abstract and Applied Analysis 7 Acta Mathematica Sinica. English Series 7 Discrete and Continuous Dynamical Systems. Series B 7 Proceedings of the Steklov Institute of Mathematics 7 Afrika Matematika 6 Journal of Mathematical Physics 6 Topological Methods in Nonlinear Analysis 6 Electronic Journal of Differential Equations (EJDE) 6 Analysis and Applications (Singapore) 5 Israel Journal of Mathematics 5 Rocky Mountain Journal of Mathematics 5 Ukrainian Mathematical Journal 5 Advances in Mathematics 5 Applied Mathematics and Optimization 5 Rendiconti del Seminario Matematico della Università di Padova 5 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 5 Acta Applicandae Mathematicae 5 Applicationes Mathematicae 5 Journal of Convex Analysis 5 Portugaliae Mathematica. Nova Série 5 International Journal of Differential Equations 5 Journal of Function Spaces 5 Advances in Operator Theory 4 Computers & Mathematics with Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Mathematics of Computation 4 Journal of Computational and Applied Mathematics 4 Journal of Optimization Theory and Applications 4 Mathematische Nachrichten 4 Numerical Functional Analysis and Optimization 4 Proceedings of the Japan Academy. Series A 4 SIAM Journal on Control and Optimization 4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Revista Matemática Iberoamericana 4 Annales Mathématiques Blaise Pascal 4 Doklady Mathematics 4 Advances in Calculus of Variations 4 Differential Equations and Applications 3 Arkiv för Matematik 3 Czechoslovak Mathematical Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Numerische Mathematik 3 Chinese Annals of Mathematics. Series B 3 The Journal of Geometric Analysis ...and 137 more Serials
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Cited in 40 Fields

 1,569 Partial differential equations (35-XX) 202 Calculus of variations and optimal control; optimization (49-XX) 122 Functional analysis (46-XX) 122 Operator theory (47-XX) 71 Fluid mechanics (76-XX) 60 Global analysis, analysis on manifolds (58-XX) 56 Mechanics of deformable solids (74-XX) 49 Numerical analysis (65-XX) 42 Ordinary differential equations (34-XX) 40 Potential theory (31-XX) 37 Probability theory and stochastic processes (60-XX) 33 Classical thermodynamics, heat transfer (80-XX) 19 Biology and other natural sciences (92-XX) 16 Real functions (26-XX) 15 Systems theory; control (93-XX) 14 Measure and integration (28-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Integral equations (45-XX) 11 Optics, electromagnetic theory (78-XX) 10 Statistical mechanics, structure of matter (82-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Several complex variables and analytic spaces (32-XX) 5 General topology (54-XX) 4 Approximations and expansions (41-XX) 4 Mechanics of particles and systems (70-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Functions of a complex variable (30-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX)