2024 : 5 : 31

Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
EXISTENCE SOLUTION FOR WEIGHTED p(x)-LAPLACIAN EQUATION
Type
JournalPaper
Keywords
p(x)-biharmonic, variable exponent Lebesgue space, variable exponent Sobolev space
Year
2017
Journal Italian Journal of Pure and Applied Mathematics
DOI
Researchers S R MousavianKatir ، Mohsen Alimohammady ، Hossein Jafari

Abstract

This paper deals with the existence solution for the following type of boun- dary value problems: { Δ ( jxjp(x) jΔujp(x)􀀀2 Δu ) =  jujq(x)􀀀2 u; in Ω; u = Δu = 0; on @Ω; where Ω is a smooth bounded domain in ℜN. 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.