Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

被引：100
|
作者：
Cao, Daomin [2 ,3 ]
Peng, Shuangjie [1 ]
Yan, Shusen [4 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
[3] Chinese Acad Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China
[4] Univ New England, Dept Math, Armidale, NSW 2351, Australia
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 06期
关键词：
Critical Sobolev growth; Infinitely many solutions; p-Laplacian equations; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY; TOPOLOGY; LINKING;
D O I：
10.1016/j.jfa.2012.01.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth: -Delta(p)u = vertical bar u vertical bar(p)*(-2)u + mu vertical bar u vertical bar(p-2)u in Omega, u =0 on partial derivative Omega, provided N > p(2) + p, where Delta(p) is the p-Laplacian operator, 1 < p < N, p* = pN/N-p, mu > 0 and Omega is an open bounded domain in R-N. (C) 2012 Elsevier Inc. All rights reserved.
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页码：2861 / 2902
页数：42
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