Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions

被引：19

作者：

Han, PG ^{[1
]}

Liu, ZX ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 1-2期

关键词：

Neumann problem; semilinear elliptic equation; energy functional; critical point;

D O I：

10.1016/S0362-546X(03)00223-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Neumann problem for nonlinear elliptic equations with critical Sobolev exponents and Hardy terms is studied by variational method. Based on the variant of the mountain pass theorem of Ambrosetti and Rabinowitz without (PS) condition, we prove the existence of positive solutions. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：167 / 186

页数：20

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