On some fourth-order semilinear elliptic problems in RN

被引：72
作者：
Chabrowski, J
do O, JM [1 ]
机构：
[1] Univ Fed Paraiba, Dept Matemat, CCEN, BR-58059900 Joao Pessoa, Paraiba, Brazil
[2] Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 06期
关键词：
biharmonic operator; principal eigenvalue; mountain-pass theorem; constrained minimization; critical growth;
D O I：
10.1016/S0362-546X(01)00144-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of two solutions for a fourth-order semilinear elliptic problem involving critical growth from the viewpoint of Sobolev embedding was established. The basic tools used in the analysis were the mountain-pass theorem, constrained minimization, and concentration-compactness principle. The existence of positive principle eigenvalues for the corresponding linear elliptic problem was also investigated.
引用
收藏
页码：861 / 884
页数：24
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