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

被引：8

作者：

Cekic, Bilal ^{[1
]}

Mashiyev, Rabil A. ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2010年

关键词：

POSITIVE SOLUTIONS; KIRCHHOFF TYPE; EXISTENCE; EQUATION;

D O I：

10.1155/2010/385048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

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页数：12

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