Multiplicity of positive solutions for a singular and critical elliptic problem in R2

被引：21

作者：

Adimurthi

Giacomoni, Jacques

机构：

[1] TIFR Ctr, Bangalore 560012, Karnataka, India

[2] MIP CEREMATH, Mfg Tabacs, F-31000 Toulouse, France

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2006年 / 8卷 / 05期

关键词：

singular elliptic equations in two dimensions; critical growth; global multiplicity; variational methods; shooting methods;

D O I：

10.1142/S0219199706002222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in the following singular problem: [GRAPHICS] where 0 < p is an element of L-infinity, lambda > 0, 0 < delta < 3, Omega a smooth bounded domain. We show on suitable conditions on h there exist two solutions in H-0(1)(Omega). Investigating the radial case, we are able to prove that the condition at infinity for h is optimal for getting the existence of the second solution.

引用

页码：621 / 656

页数：36

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