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.
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页码：147 / 169
页数：23
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