EXISTENCE SOLUTION FOR WEIGHTED p(x)-LAPLACIAN EQUATION، انجام شده توسط محسن علیمحمدی

مشخصات پژوهش

عنوان	EXISTENCE SOLUTION FOR WEIGHTED p(x)-LAPLACIAN EQUATION
نوع پژوهش	JournalPaper
کلیدواژه‌ها	p(x)-biharmonic, variable exponent Lebesgue space, variable exponent Sobolev space
سال	2017
مجله	Italian Journal of Pure and Applied Mathematics
شناسه DOI
پژوهشگران	S R MousavianKatir ، Mohsen Alimohammady ، Hossein Jafari

چکیده

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.