Multiplicity solutions to non-local problems with general potentials and combined nonlinearities

被引：0
|
作者：
Xue, Ye [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 123卷
关键词：
Nonlocal problem; Variational method; Multiplicity solutions; NONTRIVIAL SOLUTION; EXISTENCE; EQUATIONS; LINKING;
D O I：
10.1016/j.aml.2021.107583
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 and multiplicity of nontrivial solutions for equations driven by a nonlocal integrodifferential operator LK with homogeneous Dirichlet boundary conditions. Taking general potentials and combined nonlinearities into consideration, at least two weak solutions are obtained by abstract critical point results. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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