Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces

Bilal Cekic and Rabil A. Mashiyev

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)‐Kirchhoff type with nonstandard growth condition.

Date: 2010
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https://doi.org/10.1155/2010/385048

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:385048

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