Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent

被引：25

作者：

Li, Tiexiang ^{[1
]}

Wu, Tsung-fang ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211189, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 01期

关键词：

Ljustemik-Schnirelmann category; Multiple positive solutions; Critical Sobolev exponent; Nehari manifold; CHANGING WEIGHT FUNCTION; SEMILINEAR ELLIPTIC EQUATION; CONVEX NONLINEARITIES; NODAL SOLUTIONS; TOPOLOGY; CONCAVE; DOMAINS;

D O I：

10.1016/j.jmaa.2010.03.022

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 via the combination of concave and convex nonlinearities. Furthermore, we use this result and the Ljusternik-Schnirelmann category to prove that the existence of multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：245 / 257

页数：13

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