Strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces

Author:

Ahmed Oubeid Mohamed Leimne,Benkirane A.,El Vally M. Sidi

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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference24 articles.

1. 1. M. L. Ahmed Oubeid, A. Benkirane and M. Ould Mohamedhen val; Nonlinear elliptic equations involiving measur data in Musielak-Orlicz-Sobolev spaces, Jour. Abstr. Differ. Equ. Appl. Vol. 4 (2013), no. 1, pp.43-57.

2. 2. M. L. Ahmed Oubeid, A. Benkirane and M. Sidi El vally ; Parabolic equations in MusielakOrlicz-Sobolev spaces, Int. J. Analysis Appl. Volume 4, Number 2 (2014), 174-191.

3. 3. A. Benkirane and M. Ould Mohamedhen val; An existence result for nonlinear elliptic equations in Musielak-Orlicz-Sobolev spaces, Bull. Belg. Math. Soc. Simon Stevin Volume 20, Number 1 (2013), 57-75.

4. 4. A. Benkirane, J. Douieb, M. Ould Mohamedhen val; An approximation theorem in MusielakOrlicz-Sobolev spaces, Comment. Math. (Prace Matem.) Vol. 51, No. 1 (2011), 109-120.

5. 5. A. Benkirane and M. Ould Mohamedhen val; Some approximation properties in MusielakOrlicz-Sobolev spaces, Thai.J. Math. Vol. 10, No. 2 (2012), 371-381.

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