Multi-bump solutions for a Kirchhoff-type problem

被引：35
|
作者：
Alves, Claudianor O. [1 ]
Figueiredo, Giovany M. [2 ]
机构：
[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil
[2] Fed Univ Para, Fac Matemat, BR-66075110 Belem, Para, Brazil
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2016年 / 5卷 / 01期
关键词：
Kirchhoff problem; multi-bump solution; variational methods; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; CONCENTRATION BEHAVIOR; ELLIPTIC EQUATION; EXISTENCE; MULTIPLICITY;
D O I：
10.1515/anona-2015-0101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of solutions for the Kirchhoff problem {M(integral(R3)vertical bar del u vertical bar(2) dx + integral(R3) (lambda a(x) + 1)u(2) dx)(-Delta u + (lambda a(x) + 1)u) = f(u) in R-3, u is an element of H-1(R-3). Assuming that the nonnegative function a(x) has a potential well with int(a(-1) ({0})) consisting of k disjoint components Omega(1), Omega(2), ... , Omega(k) and the nonlinearity f(t) has a subcritical growth, we are able to establish the existence of positive multi-bump solutions by using variational methods.
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页码：1 / 26
页数：26
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