On some fourth-order semilinear elliptic problems in RN

被引：70

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

页码：861 / 884

页数：24

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