Multiple solutions of nonhomogeneous elliptic equations with critical nonlinearity on symmetric domains

被引：9

作者：

Clapp, M

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

[2] Univ Versailles, Lab Math Appl, F-78035 Versailles, France

[3] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2003年 / 5卷 / 02期

关键词：

elliptic equation; critical growth; symmetry; group invariance; multiple solutions;

D O I：

10.1142/S0219199703000963

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Dirichlet problem associated to the nonhomogenous elliptic equation -Deltau = \u\(2*-2)u + f with critical exponent on a symmetric domain, and study the impact of symmetries on it. We show that a rich symmetry structure will give rise, in some cases, to many solutions.

引用

页码：147 / 169

页数：23

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