Strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces

  • Mohamed Leimne Ahmed Oubeid Faculté des sciences Dhar Elmehraz Département de Mathématiques et Informatique
  • A. Benkirane Faculté des sciences Dhar Elmehraz Département de Mathématiques et Informatique
  • M. Sidi El Vally King Khalid University Faculty of Science Department of Mathematics
Keywords: Inhomogeneous Musielak-Orlicz-Sobolev spaces, parabolic problems, Compactness

Abstract

We prove in this paper the existence of solutions of strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. An approximation and a compactness results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.

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Author Biography

Mohamed Leimne Ahmed Oubeid, Faculté des sciences Dhar Elmehraz Département de Mathématiques et Informatique
DÉPARTEMENT DE MATHÉMATIQUES ET INFORMATIQUE, FACULTÉ DES SCIENCES DHAR-MAHRAZ,
Published
2014-05-13
Section
Research Articles