Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents

被引：29

作者：

Alves, CO

do O, JM ^{[1
]}

Miyagaki, OH

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58059900 Joao Pessoa, Paraiba, Brazil

[2] Univ Fed Paraiba, Dept Matemat & Estatist, BR-58109970 Campina Grande, Paraiba, Brazil

[3] Univ Fed Vicosa, Dept Matemat, BR-36571000 Vicosa, MG, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 46卷 / 01期

关键词：

elliptic problems; biharmonic operator; critical growth; variational methods; mountain-pass theorem;

D O I：

10.1016/S0362-546X(99)00449-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a nontrivial solution of a class of semilinear biharmonic problem is discussed. The solution involves critical exponents that contains bounded, non-negative and continuous functions. The results for biharmonic operators are extended.

引用

页码：121 / 133

页数：13

共 31 条

[1] ON MULTIBUMP BOUND-STATES FOR CERTAIN SEMILINEAR ELLIPTIC-EQUATIONS [J].