EXISTENCE OF INFINITELY MANY SOLUTIONS FOR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT

被引：0
|
作者：
傅红卓
沈尧天
机构：
[1] Department of Mathematics
[2] South China University of Technology
[3] Guangzhou 510640
[4] China Department of Mathematics
[5] University of Science and Technology of China
[6] Hefei 230026
[7] China
来源：
Acta Mathematica Scientia | 2004年 / 03期
关键词：
critical Sobolev exponent; concentration compactness principle; genus; infinitely many solutions;
D O I：
暂无
中图分类号：
O182.1 [平面解析几何];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the following nonlinear Dirichlet problem:where △pu = div（| ▽u|p- 2 ▽u） is the p-Laplacian of u, Ω is a bounded domain in Rn （n > 3）, 1 < p < n, p = -pn/n-p is the critical exponent for the Sobolev imbedding, λ > 0 and f（x, u） satisfies some conditions. It reaches the conclusion that this problem has infinitely many solutions. Some results as p = 2 or f（x,u） = |u|q-2u, where 1 < q < p, are generalized.
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页码：395 / 402
页数：8
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