Comptes Rendus
no. 9-10
Partial Differential Equations
Eigenvalue problems in anisotropic Orlicz–Sobolev spaces
[Problèmes de valeurs propres dans les espaces d'Orlicz–Sobolev anisotropes]

Présenté par : Philippe G. Ciarlet

Mihai Mihăilescu1, 2 ; Gheorghe Moroşanu2 ; Vicenţiu Rădulescu1, 3
1 University of Craiova, Department of Mathematics, Street A.I. Cuza No. 13, 200585 Craiova, Romania
2 Department of Mathematics, Central European University, 1051 Budapest, Hungary
3 Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 014700 Bucharest, Romania
Comptes Rendus. Mathématique, Volume 347 (2009) no. 9-10, pp. 521-526.

On établit des conditions suffisantes pour l'existence des solutions pour une classe de problèmes non linéaires de valeurs propres avec des opérateurs différentiels non homogènes dans les espaces d'Orlicz–Sobolev.

We establish sufficient conditions for the existence of solutions to a class of nonlinear eigenvalue problems involving nonhomogeneous differential operators in Orlicz–Sobolev spaces.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.02.023
Mihai Mihăilescu 1, 2 ; Gheorghe Moroşanu 2 ; Vicenţiu Rădulescu 1, 3

1 University of Craiova, Department of Mathematics, Street A.I. Cuza No. 13, 200585 Craiova, Romania
2 Department of Mathematics, Central European University, 1051 Budapest, Hungary
3 Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 014700 Bucharest, Romania 
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     title = {Eigenvalue problems in anisotropic {Orlicz{\textendash}Sobolev} spaces},
     journal = {Comptes Rendus. Math\'ematique},
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Mihai Mihăilescu; Gheorghe Moroşanu; Vicenţiu Rădulescu. Eigenvalue problems in anisotropic Orlicz–Sobolev spaces. Comptes Rendus. Mathématique, Volume 347 (2009) no. 9-10, pp. 521-526. doi : 10.1016/j.crma.2009.02.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.02.023/

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[4] I. Fragalà; F. Gazzola; B. Kawohl Existence and nonexistence results for anisotropic quasilinear equations, Ann. Inst. H. Poincaré, Analyse Non Linéaire, Volume 21 (2004), pp. 715-734

[5] M. Mihăilescu, G. Moroşanu, V. Rădulescu, Eigenvalue problems for anisotropic elliptic equations: An Orlicz–Sobolev space setting, preprint

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