Existence of Renormalized Solutions for Some Anisotropic Quasilinear Elliptic Equations
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Authors: T. AHMEDATT, A. AHMED, H. HJIAJ AND A. TOUZANI
DOI: 10.46793/KgJMat2004.617A
Abstract:
In this paper, we consider a class of anisotropic quasilinear elliptic equations of the type
where f(x,s) is a Carathéodory function which satisfies some growth condition. We prove the existence of renormalized solutions for our Dirichlet problem, and some regularity results are concluded.
Keywords:
Anisotropic Sobolev spaces, variable exponents, quasilinear elliptic equations, renormalized solutions.
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