Multiple positive solutions for indefinite semilinear elliptic problems involving a critical Sobolev exponent

被引：14

作者：

Chen, Ching-yu ^{[1
]}

Wu, Tsung-fang ^{[1
]}

机构：

[1] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2014年 / 144卷 / 04期

关键词：

CONVEX NONLINEARITIES; NODAL SOLUTIONS; EQUATIONS; CONCAVE;

D O I：

10.1017/S0308210512000133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the decomposition of the Nehari manifold by exploiting the combination of concave and convex nonlinearities. The result is subsequently used, in conjunction with the Ljusternik-Schnirelmann category and variational methods, to prove the existence and multiplicity of positive solutions for an indefinite elliptic problem involving a critical Sobolev exponent.

引用

页码：691 / 709

页数：19

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