On degenerate p(x)-Laplace equations involving critical growth with two parameters

被引：37

作者：

Ho, Ky ^{[1
]}

Sim, Inbo ^{[1
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 132卷

关键词：

p(x)-Laplacian; Weighted variable exponent; Lebesgue-Sobolev spaces; Concentration-compactness principle; Concave-convex nonlinearities; Nonnegative solutions; Multiplicity; ELLIPTIC-EQUATIONS; VARIABLE EXPONENT; CONCAVE; NONLINEARITIES; EXISTENCE;

D O I：

10.1016/j.na.2015.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

After establishing a concentration-compactness principle for weighted variable exponent spaces, we show the existence of a nonnegative solution and infinitely many solutions for degenerate p(x)-Laplace equations involving critical growth with two parameters using various techniques in Calculus of Variations. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：95 / 114

页数：20

共 27 条

[1] EXISTENCE OF SOLUTIONS FOR A CLASS OF p(x)-LAPLACIAN EQUATIONS INVOLVING A CONCAVE-CONVEX NONLINEARITY WITH CRITICAL GROWTH IN RN [J].