DIFFERENTIAL INCLUSION PROBLEMS WITH CONVOLUTION AND DISCONTINUOUS NONLINEARITIES

被引：11
|
作者：
Liu, Yongjian [1 ]
Liu, Zhenhai [2 ]
Motreanu, Dumitru [1 ,3 ]
机构：
[1] Yulin Normal Univ, Dept Math, Yulin 537000, Guangxi, Peoples R China
[2] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi, Peoples R China
[3] Univ Perpignan, Dept Math, 52 Ave Paul Alduy, F-66860 Perpignan, France
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2020年 / 9卷 / 04期
关键词：
Differential inclusion; hemivariational inequality; quasilinear elliptic equation; weighted; (p; q)-Laplacian; convolution; discontinuous nonlinearity; EXISTENCE;
D O I：
10.3934/eect.2020056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper investigates a new type of differential inclusion problem driven by a weighted (p,q)-Laplacian and subject to Dirichlet boundary condition. The problem fully depends on the solution and its gradient. The main novelty is that the problem exhibits simultaneously a nonlocal term involving convolution with the solution and a multivalued term describing discontinuous nonlinearities for the solution. Results stating existence, uniqueness and dependence on parameters are established.
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页码：1057 / 1071
页数：15
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