Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type

被引：2

作者：

Kim, Yun-Ho ^{[1
]}

机构：

[1] Sangmyung Univ, Dept Math Educ, Seoul 110743, South Korea

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

p(x)-Laplacian; variable exponent Lebesgue-Sobolev spaces; weak solution; eigenvalue; DEGENERATE ELLIPTIC-EQUATIONS; GLOBAL BIFURCATION; VARIABLE EXPONENT; SOBOLEV SPACES; EIGENVALUES;

D O I：

10.1186/1687-2770-2014-27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the following nonlinear problem -div(phi(x,vertical bar del u vertical bar del u)=mu vertical bar u vertical bar-(p(x)-2)u + f(lambda,x,u,del u) in Omega subject to Dirichlet boundary conditions, provided that mu is not an eigenvalue of the p(x)-Laplacian. The purpose of this paper is to study the global behavior of the set of solutions for nonlinear equations of p(x)-Laplacian type by applying a bifurcation result for nonlinear operator equations.

引用

页数：20

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