## Orsina, Luigi

Compute Distance To:
 Author ID: orsina.luigi Published as: Orsina, Luigi; Orsina, L. External Links: MGP · ORCID
 Documents Indexed: 92 Publications since 1992 Co-Authors: 39 Co-Authors with 88 Joint Publications 875 Co-Co-Authors
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### Co-Authors

 4 single-authored 53 Boccardo, Lucio 8 Dall’Aglio, Andrea 7 Arcoya, David 7 Ponce, Augusto C. 7 Porzio, Maria Michaela 5 Bartolucci, Daniele 4 Croce, Gisella 4 Gallouët, Thierry 4 Papi, Paolo 4 Petitta, Francesco 4 Porretta, Alessio 4 Prignet, Alain 3 Peral Alonso, Ireneo 2 Dal Maso, Gianni 2 Ferone, Vincenzo 2 Krattenthaler, Christian Friedrich 2 Leoni, Fabiana 2 Leonori, Tommaso 2 Malusa, Annalisa 2 Murat, François 2 Puel, Jean-Pierre 1 Adimurthi, A. 1 Alvino, Angelo 1 Andreu, Fuensanta 1 Andrews, George Eyre 1 Bartolucci, B. 1 Carmona Tapia, Jose 1 Cirmi, Giuseppa Rita 1 Fortunato, Donato 1 Fusco, Nicola 1 Gámez Ruiz, José Luis 1 Malvenuto, Claudia 1 Martínez-Aparicio, Pedro J. 1 Moreno-Mérida, Lourdes 1 Möseneder Frajria, Pierluigi 1 Pisani, Lorenzo 1 Segura de León, Sergio 1 Smarrazzo, Flavia 1 Trombetti, Guido
all top 5

### Serials

 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Evolution Equations 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Advanced Nonlinear Studies 3 Asymptotic Analysis 3 Differential and Integral Equations 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Calculus of Variations and Partial Differential Equations 3 Communications in Contemporary Mathematics 3 Communications on Pure and Applied Analysis 2 Applicable Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Communications in Partial Differential Equations 2 Advances in Mathematical Sciences and Applications 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Advances in Calculus of Variations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Algebra 1 Manuscripta Mathematica 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Communications in Applied Analysis 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Analysis & PDE 1 Differential Equations and Applications 1 Advances in Nonlinear Analysis
all top 5

### Fields

 81 Partial differential equations (35-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functional analysis (46-XX) 3 Potential theory (31-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 1 Group theory and generalizations (20-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

73 Publications have been cited 1,464 times in 915 Documents Cited by Year
Renormalization solutions of elliptic equations with general measure data. Zbl 0958.35045
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1999
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
Existence results for nonlinear elliptic equations with degenerate coercivity. Zbl 1105.35040
Alvino, Angelo; Boccardo, Lucio; Ferone, V.; Orsina, Luigi; Trombetti, Guido
2003
Existence and nonexistence of solutions for singular quadratic quasilinear equations. Zbl 1173.35051
Arcoya, David; Carmona, José; Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Orsina, Luigi; Petitta, Francesco
2009
Existence and nonexistence of solutions for some nonlinear elliptic equations. Zbl 0898.35035
Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi
1997
Existence and regularity results for some elliptic equations with degenerate coercivity. Zbl 0911.35049
Boccardo, Lucio; Dall’Aglio, Andrea; Orsina, Luigi
1998
Nonlinear parabolic equations with natural growth conditions and $$L^ 1$$ data. Zbl 0861.35045
Dall’Aglio, Andrea; Orsina, Luigi
1996
Landesman-Lazer conditions and quasilinear elliptic equations. Zbl 0871.35037
Arcoya, David; Orsina, Luigi
1997
Definition and existence of renormalized solutions of elliptic equations with general measure data. Zbl 0887.35057
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1997
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
Sublinear equations in $$L^ s$$. Zbl 0803.35047
Boccardo, L.; Orsina, L.
1994
Born-Infeld type equations for electrostatic fields. Zbl 1060.78004
Fortunato, D.; Orsina, L.; Pisani, L.
2002
Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093
Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi
1999
A Lazer-McKenna type problem with measures. Zbl 1349.35120
Orsina, Luigi; Petitta, Francesco
2016
Existence results for some nonlinear parabolic equations with nonregular data. Zbl 0807.35067
Dall’Aglio, Andrea; Orsina, Luigi
1992
$$L^{\infty{}}(Q)$$-estimate and existence of solutions for some nonlinear parabolic equations. Zbl 0783.35026
Orsina, Luigi; Porzio, Maria Michaela
1992
Non-existence of solutions for some nonlinear elliptic equations involving measures. Zbl 0953.35048
Orsina, L.; Prignet, A.
2000
Some noncoercive parabolic equations with lower order terms in divergence form. Zbl 1032.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2003
ad-nilpotent $$\mathfrak b$$-ideals in $${\mathfrak{sl}}(n)$$ having a fixed class of nilpotence: combinatorics and enumeration. Zbl 1041.17008
Andrews, George E.; Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo
2002
Semilinear elliptic equations and systems with diffuse measures. Zbl 1171.35038
Orsina, Luigi; Ponce, Augusto C.
2008
Existence results for Dirichlet problems in $$L^ 1$$ via Minty’s lemma. Zbl 1034.35033
Boccardo, Lucio; Orsina, Luigi
2000
Semilinear equations with exponential nonlinearity and measure data. Zbl 1148.35318
Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi; Ponce, Augusto C.
2005
Existence results for some elliptic equations with unbounded coefficients. Zbl 1330.35158
Orsina, Luigi
2003
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
Enumeration of ad-nilpotent $${\mathfrak b}$$-ideals for simple Lie algebras. Zbl 1024.17003
Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo
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
Enumeration of ad-nilpotent ideals of a Borel subalgebra in type $$A$$ by class of nilpotence. Zbl 0984.17003
Orsina, Luigi; Papi, Paolo
2000
Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2016
Existence and regularity of minima for integral functionals noncoercive in the energy space. Zbl 1015.49014
Boccardo, Lucio; Orsina, Luigi
1997
Strong maximum principle for Schrödinger operators with singular potential. Zbl 1342.35083
Orsina, Luigi; Ponce, Augusto C.
2016
Strong stability results for solutions of elliptic equations with power-like lower order terms and measure data. Zbl 1012.35030
Orsina, Luigi; Prignet, Alain
2002
A semilinear problem with a $$W^{1,1}_0$$ solution. Zbl 1247.35037
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2012
Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2013
Existence of finite energy solutions for elliptic systems with $$L^1$$-valued nonlinearities. Zbl 1158.35029
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2008
Existence of critical points for some noncoercive functionals. Zbl 1035.49007
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2001
Solvability of linear and semilinear eigenvalue problems with $$L^ 1$$ data. Zbl 0822.35106
Orsina, Luigi
1993
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
Positive solutions for a class of nonlinear elliptic problems involving quasilinear and semilinear terms. Zbl 1242.35126
Orsina, Luigi; Puel, Jean-Pierre
2001
Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023
Boccardo, Lucio; Orsina, Luigi
2018
Existence and regularity results for relaxed Dirichlet problems with measure data. Zbl 0882.35037
Malusa, Annalisa; Orsina, Luigi
1996
Strong stability results for nonlinear elliptic equations with respect to very singular perturbation of the data. Zbl 1162.35371
Orsina, Luigi; Porretta, Alessio
2001
A quasilinear elliptic system with natural growth terms. Zbl 1330.35124
Boccardo, Lucio; Orsina, Luigi; Puel, Jean-Pierre
2015
Hopf potentials for the Schrödinger operator. Zbl 1388.35022
Orsina, Luigi; Ponce, Augusto C.
2018
Weak minima for some functionals and elliptic equations involving measures. Zbl 0849.35024
Orsina, Luigi
1996
On the limit of some nonlinear elliptic equations involving increasing powers. Zbl 0871.35039
Dall’Aglio, Andrea; Orsina, Luigi
1997
Very singular solutions for linear Dirichlet problems with singular convection terms. Zbl 1437.35382
Boccardo, Lucio; Orsina, Luigi
2020
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
Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188
Dall’Aglio, Andrea; Orsina, Luigi; Petitta, Francesco
2016
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
$$W^{1,1}_0$$ minima of noncoercive functionals. Zbl 1234.49013
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2011
Nonlinear elliptic equations with $$L^ 1$$ data as limit of bilateral problems. Zbl 0876.35038
Orsina, Luigi
1997
Uniformly elliptic Liouville type equations: concentration compactness and a priori estimates. Zbl 1141.35369
Bartolucci, B.; Orsina, L.
2005
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
On the nonexistence of Green’s function and failure of the strong maximum principle. Zbl 1439.35148
Orsina, Luigi; Ponce, Augusto C.
2020
Measure-valued solutions of nonlinear parabolic equations with logarithmic diffusion. Zbl 1329.35176
Orsina, Luigi; Porzio, Maria Michaela; Smarrazzo, Flavia
2015
Leray-Lions operators with logarithmic growth. Zbl 1308.35093
Boccardo, Lucio; Orsina, Luigi
2015
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
A variational semilinear singular system. Zbl 1219.35085
Boccardo, Lucio; Orsina, Luigi
2011
Regularizing effect of the lower order terms in some elliptic problems: old and new. Zbl 1394.35152
Boccardo, Lucio; Orsina, Luigi
2018
Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079
Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco
2011
The maximum cardinality of minimal inversion complete sets in finite reflection groups. Zbl 1352.17010
Malvenuto, Claudia; Möseneder Frajria, Pierluigi; Orsina, Luigi; Papi, Paolo
2015
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
Some borderline cases of nonlinear parabolic equations with irregular data. Zbl 1386.35222
Boccardo, Lucio; Orsina, Luigi
2016
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
Local existence results for sub-super-critical elliptic problems. Zbl 1085.35511
Arcoya, David; Gámez, José Luis; Orsina, Luigi; Peral, Ireneo
2001
A Lorentz regularity theorem for solutions of nonlinear elliptic equations. Zbl 0811.35036
Orsina, Luigi; Porzio, Maria Michaela
1993
Uniform estimates and blow-up analysis for the Emden exponential equation in any dimension. Zbl 1387.35203
Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi
2007
Strong maximum principle for some quasilinear Dirichlet problems having natural growth terms. Zbl 1439.35106
Boccardo, Lucio; Orsina, Luigi
2020
Asymptotic behaviour of renormalized solutions to elliptic equations with measure data and $$G$$-converging operators. Zbl 1158.35362
Malusa, Annalisa; Orsina, Luigi
2006
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
On the nonexistence of Green’s function and failure of the strong maximum principle. Zbl 1439.35148
Orsina, Luigi; Ponce, Augusto C.
2020
Strong maximum principle for some quasilinear Dirichlet problems having natural growth terms. Zbl 1439.35106
Boccardo, Lucio; Orsina, Luigi
2020
Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023
Boccardo, Lucio; Orsina, Luigi
2018
Hopf potentials for the Schrödinger operator. Zbl 1388.35022
Orsina, Luigi; Ponce, Augusto C.
2018
Regularizing effect of the lower order terms in some elliptic problems: old and new. Zbl 1394.35152
Boccardo, Lucio; Orsina, Luigi
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
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
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
A Lazer-McKenna type problem with measures. Zbl 1349.35120
Orsina, Luigi; Petitta, Francesco
2016
Strongly coupled elliptic equations related to mean-field games systems. Zbl 1380.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2016
Strong maximum principle for Schrödinger operators with singular potential. Zbl 1342.35083
Orsina, Luigi; Ponce, Augusto C.
2016
Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188
Dall&rsquo;Aglio, Andrea; Orsina, Luigi; Petitta, Francesco
2016
Some borderline cases of nonlinear parabolic equations with irregular data. Zbl 1386.35222
Boccardo, Lucio; Orsina, Luigi
2016
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
Measure-valued solutions of nonlinear parabolic equations with logarithmic diffusion. Zbl 1329.35176
Orsina, Luigi; Porzio, Maria Michaela; Smarrazzo, Flavia
2015
Leray-Lions operators with logarithmic growth. Zbl 1308.35093
Boccardo, Lucio; Orsina, Luigi
2015
The maximum cardinality of minimal inversion complete sets in finite reflection groups. Zbl 1352.17010
Malvenuto, Claudia; Möseneder Frajria, Pierluigi; Orsina, Luigi; Papi, Paolo
2015
Critical points for functionals with quasilinear singular Euler-Lagrange equations. Zbl 1266.35102
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2013
Nonlinear degenerate elliptic problems with $$W^{1,1}_0(\Omega)$$ solutions. Zbl 1237.35073
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
2012
A semilinear problem with a $$W^{1,1}_0$$ solution. Zbl 1247.35037
Boccardo, Lucio; Croce, Gisella; Orsina, Luigi
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
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
A variational semilinear singular system. Zbl 1219.35085
Boccardo, Lucio; Orsina, Luigi
2011
Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079
Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco
2011
Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081
Boccardo, Lucio; Orsina, Luigi
2010
Existence and nonexistence of solutions for singular quadratic quasilinear equations. Zbl 1173.35051
Arcoya, David; Carmona, José; Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Orsina, Luigi; Petitta, Francesco
2009
Semilinear elliptic equations and systems with diffuse measures. Zbl 1171.35038
Orsina, Luigi; Ponce, Augusto C.
2008
Existence of finite energy solutions for elliptic systems with $$L^1$$-valued nonlinearities. Zbl 1158.35029
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2008
Uniform estimates and blow-up analysis for the Emden exponential equation in any dimension. Zbl 1387.35203
Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi
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
Asymptotic behaviour of renormalized solutions to elliptic equations with measure data and $$G$$-converging operators. Zbl 1158.35362
Malusa, Annalisa; Orsina, Luigi
2006
Semilinear equations with exponential nonlinearity and measure data. Zbl 1148.35318
Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi; Ponce, Augusto C.
2005
Uniformly elliptic Liouville type equations: concentration compactness and a priori estimates. Zbl 1141.35369
Bartolucci, B.; Orsina, L.
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 noncoercive parabolic equations with lower order terms in divergence form. Zbl 1032.35104
Boccardo, Lucio; Orsina, Luigi; Porretta, Alessio
2003
Existence results for some elliptic equations with unbounded coefficients. Zbl 1330.35158
Orsina, Luigi
2003
Born-Infeld type equations for electrostatic fields. Zbl 1060.78004
Fortunato, D.; Orsina, L.; Pisani, L.
2002
ad-nilpotent $$\mathfrak b$$-ideals in $${\mathfrak{sl}}(n)$$ having a fixed class of nilpotence: combinatorics and enumeration. Zbl 1041.17008
Andrews, George E.; Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo
2002
Enumeration of ad-nilpotent $${\mathfrak b}$$-ideals for simple Lie algebras. Zbl 1024.17003
Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo
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
Strong stability results for solutions of elliptic equations with power-like lower order terms and measure data. Zbl 1012.35030
Orsina, Luigi; Prignet, Alain
2002
Existence of critical points for some noncoercive functionals. Zbl 1035.49007
Arcoya, David; Boccardo, Lucio; Orsina, Luigi
2001
Positive solutions for a class of nonlinear elliptic problems involving quasilinear and semilinear terms. Zbl 1242.35126
Orsina, Luigi; Puel, Jean-Pierre
2001
Strong stability results for nonlinear elliptic equations with respect to very singular perturbation of the data. Zbl 1162.35371
Orsina, Luigi; Porretta, Alessio
2001
Local existence results for sub-super-critical elliptic problems. Zbl 1085.35511
Arcoya, David; Gámez, José Luis; Orsina, Luigi; Peral, Ireneo
2001
Non-existence of solutions for some nonlinear elliptic equations involving measures. Zbl 0953.35048
Orsina, L.; Prignet, A.
2000
Existence results for Dirichlet problems in $$L^ 1$$ via Minty’s lemma. Zbl 1034.35033
Boccardo, Lucio; Orsina, Luigi
2000
Enumeration of ad-nilpotent ideals of a Borel subalgebra in type $$A$$ by class of nilpotence. Zbl 0984.17003
Orsina, Luigi; Papi, Paolo
2000
Renormalization solutions of elliptic equations with general measure data. Zbl 0958.35045
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1999
Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093
Boccardo, Lucio; Dall&rsquo;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
Existence and regularity results for some elliptic equations with degenerate coercivity. Zbl 0911.35049
Boccardo, Lucio; Dall&rsquo;Aglio, Andrea; Orsina, Luigi
1998
Nonlinear parabolic equations with measure data. Zbl 0887.35082
Boccardo, Lucio; Dall&rsquo;Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi
1997
Existence and nonexistence of solutions for some nonlinear elliptic equations. Zbl 0898.35035
Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi
1997
Landesman-Lazer conditions and quasilinear elliptic equations. Zbl 0871.35037
Arcoya, David; Orsina, Luigi
1997
Definition and existence of renormalized solutions of elliptic equations with general measure data. Zbl 0887.35057
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1997
Existence and regularity of minima for integral functionals noncoercive in the energy space. Zbl 1015.49014
Boccardo, Lucio; Orsina, Luigi
1997
On the limit of some nonlinear elliptic equations involving increasing powers. Zbl 0871.35039
Dall&rsquo;Aglio, Andrea; Orsina, Luigi
1997
Nonlinear elliptic equations with $$L^ 1$$ data as limit of bilateral problems. Zbl 0876.35038
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
Nonlinear parabolic equations with natural growth conditions and $$L^ 1$$ data. Zbl 0861.35045
Dall&rsquo;Aglio, Andrea; Orsina, Luigi
1996
Existence and regularity results for relaxed Dirichlet problems with measure data. Zbl 0882.35037
Malusa, Annalisa; Orsina, Luigi
1996
Weak minima for some functionals and elliptic equations involving measures. Zbl 0849.35024
Orsina, Luigi
1996
Sublinear equations in $$L^ s$$. Zbl 0803.35047
Boccardo, L.; Orsina, L.
1994
Solvability of linear and semilinear eigenvalue problems with $$L^ 1$$ data. Zbl 0822.35106
Orsina, Luigi
1993
A Lorentz regularity theorem for solutions of nonlinear elliptic equations. Zbl 0811.35036
Orsina, Luigi; Porzio, Maria Michaela
1993
Existence results for some nonlinear parabolic equations with nonregular data. Zbl 0807.35067
Dall&rsquo;Aglio, Andrea; Orsina, Luigi
1992
$$L^{\infty{}}(Q)$$-estimate and existence of solutions for some nonlinear parabolic equations. Zbl 0783.35026
Orsina, Luigi; Porzio, Maria Michaela
1992
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### Cited by 832 Authors

 61 Boccardo, Lucio 48 Orsina, Luigi 24 Porzio, Maria Michaela 22 Abdellaoui, Boumediene 22 Porretta, Alessio 20 Klimsiak, Tomasz 20 Peral Alonso, Ireneo 20 Redwane, Hicham 18 Benkirane, Abdelmoujib 16 Arcoya, David 16 Guibé, Olivier 16 Kuusi, Tuomo 16 Mercaldo, Anna 16 Petitta, Francesco 15 Martínez-Aparicio, Pedro J. 15 Murat, François 15 Ponce, Augusto C. 15 Primo, Ana R. M. 14 Bennouna, Jaouad 14 Mingione, Giuseppe 14 Segura de León, Sergio 13 Giachetti, Daniela 13 Oliva, Francescantonio 10 Azroul, Elhoussine 10 Carmona Tapia, Jose 10 Dall’Aglio, Andrea 9 Betta, Maria Francesca 9 Garain, Prashanta 9 Leonori, Tommaso 9 Parviainen, Mikko 9 Roubíček, Tomáš 9 Véron, Laurent 8 Abdellaoui, Mohammed Amin 8 Bidaut-Veron, Marie-Françoise 8 Blanchard, Dominique 8 Choudhuri, Debajyoti 8 Cirmi, Giuseppa Rita 8 de Cave, Linda Maria 8 El Moumni, Mostafa 8 Nguyen Cong Phuc 8 Rozkosz, Andrzej 8 Sciunzi, Berardino 8 Verbitsky, Igor E. 8 Zhang, Chao 8 Zhou, Shulin 7 Bal, Kaushik 7 Candela, Anna Maria 7 Chlebicka, Iwona 7 Gao, Wenjie 7 Leonetti, Francesco 7 Ouaro, Stanislas 7 Rhoudaf, Mohamed 7 Smarrazzo, Flavia 7 Youssfi, Ahmed 6 Akdim, Youssef 6 Attar, Ahmed 6 Bourahma, Mohamed 6 Bulíček, Miroslav 6 Byun, Sun-Sig 6 Cianchi, Andrea 6 El Hadfi, Youssef 6 Huang, Shuibo 6 Leone, Chiara 6 Malusa, Annalisa 6 Marah, Amine 6 Moreno-Mérida, Lourdes 6 Park, Jung-Tae 6 Santos, Carlos Alberto P. 5 Buccheri, Stefano 5 Canino, Annamaria 5 Casado-Díaz, Juan 5 Croce, Gisella 5 Esposito, Francesco 5 Gao, Hongya 5 Ghosh, Sekhar 5 Giacomoni, Jacques 5 Igbida, Jaouad 5 Kinnunen, Juha 5 Lukkari, Teemu 5 Magliocca, Martina 5 Nguyen Bich Huy 5 Nguyen, Quoc Hung 5 Palmieri, Giuliana 5 Sanchón, Manel 5 Tran, Minh Phuong 5 Zatorska-Goldstein, Anna 4 Aberqi, Ahmed 4 Andreu, Fuensanta 4 Baroni, Paolo 4 Bendahmane, Mostafa 4 Bentifour, Rachid 4 Bonheure, Denis 4 Brézis, Haïm 4 Chen, Huyuan 4 di Castro, Agnese 4 Drábek, Pavel 4 Durastanti, Riccardo 4 Feo, Filomena 4 Gallouët, Thierry 4 Hara, Takanobu ...and 732 more Authors
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### Cited in 188 Serials

 105 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Journal of Differential Equations 43 Journal of Mathematical Analysis and Applications 27 Annali di Matematica Pura ed Applicata. Serie Quarta 25 Calculus of Variations and Partial Differential Equations 24 Journal of Functional Analysis 23 NoDEA. Nonlinear Differential Equations and Applications 21 Mediterranean Journal of Mathematics 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 Advanced Nonlinear Studies 18 Journal of Evolution Equations 17 Complex Variables and Elliptic Equations 15 Archive for Rational Mechanics and Analysis 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Ricerche di Matematica 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Journal of Elliptic and Parabolic Equations 12 Communications on Pure and Applied Analysis 11 Applicable Analysis 11 Communications in Contemporary Mathematics 10 Manuscripta Mathematica 10 Potential Analysis 10 Boundary Value Problems 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 9 Discrete and Continuous Dynamical Systems 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Communications in Partial Differential Equations 8 Nonlinear Analysis. Real World Applications 8 Journal of Fixed Point Theory and Applications 8 Advances in Nonlinear Analysis 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Journal of Algebra 6 Monatshefte für Mathematik 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Transactions of the American Mathematical Society 6 Journal of Mathematical Sciences (New York) 6 Acta Mathematica Sinica. English Series 5 Journal d’Analyse Mathématique 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Advances in Mathematics 5 Proceedings of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Electronic Journal of Differential Equations (EJDE) 5 Milan Journal of Mathematics 5 Boletim da Sociedade Paranaense de Matemática. Terceira Série 5 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Function Spaces 5 Bollettino dell’Unione Matematica Italiana 4 Mathematical Methods in the Applied Sciences 4 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Mathematical Analysis 4 Topological Methods in Nonlinear Analysis 4 Journal of the European Mathematical Society (JEMS) 4 Journal of Pseudo-Differential Operators and Applications 4 Analysis and Mathematical Physics 4 Afrika Matematika 4 S$$\vec{\text{e}}$$MA Journal 4 Advances in Operator Theory 3 Journal of Mathematical Physics 3 Mathematische Annalen 3 Rendiconti del Seminario Matematico della Università di Padova 3 SIAM Journal on Control and Optimization 3 Applied Mathematics Letters 3 Journal of Convex Analysis 3 Revista Matemática Complutense 3 Discrete and Continuous Dynamical Systems. Series B 3 Portugaliae Mathematica. Nova Série 3 Advances in Calculus of Variations 3 International Journal of Differential Equations 3 Open Mathematics 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Ukrainian Mathematical Journal 2 Arkiv för Matematik 2 Mathematics of Computation 2 BIT 2 Indiana University Mathematics Journal 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Asymptotic Analysis 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Stochastic Processes and their Applications 2 Indagationes Mathematicae. New Series 2 Applicationes Mathematicae 2 Annales Mathématiques Blaise Pascal 2 The Electronic Journal of Combinatorics 2 Advances in Differential Equations 2 Arab Journal of Mathematical Sciences 2 Séminaire Lotharingien de Combinatoire 2 Abstract and Applied Analysis 2 Computational Methods in Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V ...and 88 more Serials
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### Cited in 41 Fields

 843 Partial differential equations (35-XX) 71 Functional analysis (46-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 37 Potential theory (31-XX) 36 Operator theory (47-XX) 18 Probability theory and stochastic processes (60-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Numerical analysis (65-XX) 16 Combinatorics (05-XX) 16 Measure and integration (28-XX) 16 Mechanics of deformable solids (74-XX) 15 Nonassociative rings and algebras (17-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Biology and other natural sciences (92-XX) 12 Fluid mechanics (76-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Optics, electromagnetic theory (78-XX) 9 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 7 Group theory and generalizations (20-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Integral equations (45-XX) 6 Real functions (26-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Operations research, mathematical programming (90-XX)