Existence and multiplicity results for the p(x)–Laplacian system

Publish Year: 1402
نوع سند: مقاله کنفرانسی
زبان: English
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تاریخ نمایه سازی: 22 آذر 1402


This paper deals with the existence and multiplicity of nontrivial weak solutions for the following system involving variable exponents{█(-Δ_p(x) u=λf(v), in Ω,@-Δ_p(x) v=λg(u), in Ω,@u=v=۰ on ∂Ω,)┤where Ω=B(۰,R) is a bounded domain of R^N, λ is a positive real parameter and p is real continuos function on Ω ̅. Using a variational method and Krasnoselskii,s genus theory, we would show the existence and multiplicity of the solutions. For this purpose, we focus on a generalized variable exponent Lebesgue-Sobolev space.


Asieh Rezvani

Department of Mathematics, Technical and Vocational, University (TVU), Tehran, Iran