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.
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页数：20
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