Existence of Multi-peak Solutions for p-Laplace Problems in RN

被引：1
|
作者：
Zhang, Zhen-hui [1 ]
Xu, Hao-yuan [2 ]
机构：
[1] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2015年 / 31卷 / 04期
基金：
中国国家自然科学基金;
关键词：
p-Laplace problem; existence of solutions; variational method; STRONG COMPARISON PRINCIPLE; STRONG MAXIMUM PRINCIPLE; CRITICAL FREQUENCY; STANDING WAVES; STATES;
D O I：
10.1007/s10255-015-0528-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the p-Laplace problem -epsilon(p)Delta(p)u + V(x)u(p-1) = u(q-1), u > 0 in R-N where 2 <= p < N, epsilon > 0 and p < q < p* = Np/nNp. V is a non-negative function satisfying certain conditions and epsilon is a small parameter. We obtain the existence of solutions concentrated near set consisting of disjoint components of zero set of V under certain assumptions on V when epsilon > 0 is small.
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页码：1061 / 1072
页数：12
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