Multiple solutions for a nonlinear Neumann problem involving a critical Sobolev exponent

被引：3

作者：

Chabrowski, Jan ^{[1
]}

机构：

[1] Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia

来源：

NOTE DI MATEMATICA | 2008年 / 28卷 / 01期

关键词：

Sobolev exponent; multiple solutions; concentration-compactness principle; Neumann problem;

D O I：

10.1285/i15900932v28n1p15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the nonlinear Neumann problem (1) involving a critical Sobolev exponent and a nonlinearity of lower order. Our main results assert that for every k is an element of N problem (1) admits at least k pairs of nontrivial solutions provided a parameter ae belongs to some interval (0, mu*).

引用

页码：15 / 28

页数：14

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