Infinitely many positive solutions for a nonlocal problem

被引：8
|
作者：
Gu, Guangze [1 ,3 ]
Zhang, Wei [2 ]
Zhao, Fukun [1 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
[2] Yunnan Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
[3] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 84卷
关键词：
Nonlocal problem; Fractional Laplacian; Positive solution; Variational method; ANOMALOUS DIFFUSION; DYNAMICS; THEOREM;
D O I：
10.1016/j.aml.2018.04.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain infinitely many small positive solutions of the following nonlocal problem {-L(K)u = f(x,u) in Omega, u = 0 in R-N \ Omega, where Omega subset of R-N is a bounded domain with Lipschitz boundary partial derivative Omega, and L-K is an integrodifferential operator of fractional Laplacian type. The character of this work is that we do not require any growth condition on f for u large. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：49 / 55
页数：7
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