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Existence and uniqueness of solutions of some nonlinear equations in Orlicz spaces and weighted Sobolev spaces
Conference proceeding

Existence and uniqueness of solutions of some nonlinear equations in Orlicz spaces and weighted Sobolev spaces

L. Aharouch, A. Benkirane, J. Bennouna and A. Touzani
RECENT DEVELOPMENTS IN NONLINEAR ANALYSIS, pp.170-180
01/01/2010
DOI: https://doi.org/10.1142/9789814295574_0012

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
In this paper, we show, in the framework of Orlicz Sobolev spaces, the existence of renormalized and entropy solutions of some nonlinear equations and the existence and uniqueness of a unilateral problem. The existence of weak and renormalized solution of a nonlinear equation is also presented in the framework of weighted Sobolev spaces.

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