Existence and multiplicity results for Kirchhoff-type problem with sublinear nonlinearity

被引：2
|
作者：
Chen, Peng [1 ,2 ]
Zhang, Yuanyuan [1 ,2 ]
机构：
[1] China Three Gorges Univ, Coll Sci, Dept Math, Yichang 443002, Hubei, Peoples R China
[2] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 114卷 / 114期
关键词：
Kirchhoff-type problem; Sublinear; Genus; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EQUATIONS;
D O I：
10.1016/j.aml.2020.106900
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the existence and multiplicity of solutions of Kirchhoff type problem {- (a + b) integral(N)(R)vertical bar del u vertical bar(2)dx)Delta u + u = f(x,u), in R-N, u is an element of H-1(R-N), (0.1) where N >= 3. Under more relaxed assumptions on f, we establish some existence criteria to guarantee that the above problem has at least one or infinitely many nontrival solutions by using the genus properties in critical point theory. (C) 2020 Elsevier Ltd. All rights reserved.
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