Comptes Rendus
Partial Differential Equations
Nonhomogeneous Neumann problems in Orlicz–Sobolev spaces
[Problèmes de Neumann non homogènes dans les espaces d'Orlicz–Sobolev]
Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 401-406.

On établit des conditions suffisantes pour l'existence des solutions non triviales pour une classe de problèmes aux limites de Neumann avec des opérateurs différentiels non homogènes.

We establish sufficient conditions for the existence of nontrivial solutions for a class of nonlinear Neumann boundary value problems involving nonhomogeneous differential operators.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.02.020
Mihai Mihăilescu 1, 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, P.O. Box 1-764, 014700 Bucharest, Romania
@article{CRMATH_2008__346_7-8_401_0,
     author = {Mihai Mih\u{a}ilescu and Vicen\c{t}iu R\u{a}dulescu},
     title = {Nonhomogeneous {Neumann} problems in {Orlicz{\textendash}Sobolev} spaces},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {401--406},
     publisher = {Elsevier},
     volume = {346},
     number = {7-8},
     year = {2008},
     doi = {10.1016/j.crma.2008.02.020},
     language = {en},
}
TY  - JOUR
AU  - Mihai Mihăilescu
AU  - Vicenţiu Rădulescu
TI  - Nonhomogeneous Neumann problems in Orlicz–Sobolev spaces
JO  - Comptes Rendus. Mathématique
PY  - 2008
SP  - 401
EP  - 406
VL  - 346
IS  - 7-8
PB  - Elsevier
DO  - 10.1016/j.crma.2008.02.020
LA  - en
ID  - CRMATH_2008__346_7-8_401_0
ER  - 
%0 Journal Article
%A Mihai Mihăilescu
%A Vicenţiu Rădulescu
%T Nonhomogeneous Neumann problems in Orlicz–Sobolev spaces
%J Comptes Rendus. Mathématique
%D 2008
%P 401-406
%V 346
%N 7-8
%I Elsevier
%R 10.1016/j.crma.2008.02.020
%G en
%F CRMATH_2008__346_7-8_401_0
Mihai Mihăilescu; Vicenţiu Rădulescu. Nonhomogeneous Neumann problems in Orlicz–Sobolev spaces. Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 401-406. doi : 10.1016/j.crma.2008.02.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.02.020/

[1] Y. Chen; S. Levine; M. Rao Variable exponent, linear growth functionals in image processing, SIAM J. Appl. Math., Volume 66 (2006) no. 4, pp. 1383-1406

[2] L. Diening Maximal function on Musielak–Orlicz spaces and generalized Lebesgue spaces, Bull. Sci. Math., Volume 129 (2005), pp. 657-700

[3] T.C. Halsey Electrorheological fluids, Science, Volume 258 (1992), pp. 761-766

[4] M. Mihăilescu; P. Pucci; V. Rădulescu Nonhomogeneous boundary value problems in anisotropic Sobolev spaces, C. R. Acad. Sci. Paris, Ser. I, Volume 345 (2007), pp. 561-566

[5] M. Mihăilescu; V. Rădulescu A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids, Proc. Roy. Soc. A: Math. Phys. Eng. Sci., Volume 462 (2006), pp. 2625-2641

[6] M. Mihăilescu; V. Rădulescu On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent, Proc. Amer. Math. Soc., Volume 135 (2007), pp. 2929-2937

[7] M. Mihăilescu; V. Rădulescu Continuous spectrum for a class of nonhomogeneous differential operators, Manuscripta Math., Volume 125 (2008), pp. 157-167

[8] M. Mihăilescu, V. Rădulescu, Neumann problems associated to nonhomogeneous differential operators in Orlicz–Sobolev spaces, Ann. Inst. Fourier, in press

[9] J. Musielak Orlicz Spaces and Modular Spaces, Lecture Notes in Mathematics, vol. 1034, Springer, Berlin, 1983

[10] J. Musielak; W. Orlicz On modular spaces, Studia Math., Volume 18 (1959), pp. 49-65

[11] H. Nakano Modulared Semi-ordered Linear Spaces, Maruzen Co., Ltd., Tokyo, 1950

[12] K.R. Rajagopal; M. Ružička Mathematical modelling of electrorheological fluids, Cont. Mech. Term., Volume 13 (2001), pp. 59-78

[13] M. Ružička Electrorheological Fluids Modeling and Mathematical Theory, Springer-Verlag, Berlin, 2002

[14] M. Struwe Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems, Springer-Verlag, Heidelberg, 1996

Cité par Sources :

Commentaires - Politique


Ces articles pourraient vous intéresser

Nonhomogeneous boundary value problems in Orlicz–Sobolev spaces

Mihai Mihăilescu; Vicenţiu Rădulescu

C. R. Math (2007)


Eigenvalue problems in anisotropic Orlicz–Sobolev spaces

Mihai Mihăilescu; Gheorghe Moroşanu; Vicenţiu Rădulescu

C. R. Math (2009)


Nonhomogeneous boundary value problems in anisotropic Sobolev spaces

Mihai Mihăilescu; Patrizia Pucci; Vicenţiu Rădulescu

C. R. Math (2007)