Existence of solutions for Dirichlet elliptic problems with discontinuous nonlinearity

被引：9
|
作者：
Yuan, Ziqing [1 ,2 ]
Yu, Jianshe [2 ]
机构：
[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China
[2] Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Guangdong, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 197卷 / 197期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Dual method; Variational method; Definite sign solutions; Sign-changing solution; Discontinuous problems; MULTIPLE SOLUTIONS; SIGN;
D O I：
10.1016/j.na.2020.111848
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we concern with definite sign and sign-changing solutions of a class of discontinuous problems. By using the dual method, we overcome the difficulty of non-differentiability and obtain the existence results of definite sign solution and a sign-changing solutions on the Nehari manifold for the discontinuous problems. Some continuous results are extended to the discontinuous cases. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：17
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