Affiliation:
1. Department of Mathematics, Laboratory LAMA, Faculty of Sciences Dhar El Mahraz , Sidi Mohamed Ben Abdellah University , Fez , Morocco .
Abstract
Abstract
The aim of this paper is to establish the existence of solutions for a nonlinear elliptic problem of the form
{
A
(
u
)
=
f
i
n
Ω
u
=
0
o
n
∂
Ω
\left\{ {\matrix{{A\left( u \right) = f} \hfill & {in} \hfill & \Omega \hfill \cr {u = 0} \hfill & {on} \hfill & {\partial \Omega } \hfill \cr } } \right.
where A(u) = −diva(x, u, ∇u) is a Leray-Lions operator and f ∈ W−1,p′
(.)(Ω) with p(x) ∈ (1, ∞). Our technical approach is based on topological degree method and the theory of variable exponent Sobolev spaces.
Subject
Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis
Reference22 articles.
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3 articles.
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