Existence solution for weighted p (x)-Laplacian equation, By Mohsen Alimohammady

Research

Title	Existence solution for weighted p (x)-Laplacian equation
Type	Article
Keywords	p(x)-biharmonic, variable exponent Lebesgue space, variable exponent Sobolev space.
Journal	Italian Journal of Pure and Applied Mathematics
DOI	—
Researchers	S R MousavianKatir (First researcher) , Mohsen Alimohammady (Second researcher) , Hossein Jafari (Third researcher)

Abstract

This paper deals with the existence solution for the following type of boundary value problems: where Ω is a smooth bounded domain inℜN. It is established for a negative , there exists at least one weak solution. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces and a variant of the Mountain Pass theorem.