Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms

被引：7

作者：

Hirano, Norimichi ^{[1
]}

Shioji, Naoki ^{[1
]}

机构：

[1] Yokohama Natl Univ, Dept Math, Grad Sch Environm & Informat Sci, Yokohama, Kanagawa, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 09期

关键词：

critical Sobolev; Hardy inequality; semilinear elliptic problem;

D O I：

10.1090/S0002-9939-06-08405-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let N >= 4, let 2* = 2N/(N - 2) and let Omega RN be a bounded domain with a smooth boundary delta Omega. Our purpose in this paper is to consider the existence of solutions of the problem: [GRAPHICS] where 0 < mu < (N-2/2)(2).

引用

页码：2585 / 2592

页数：8

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