Hemivariational inequalities with competing operators

被引：3
作者：
Motreanu, Dumitru [1 ]
机构：
[1] Univ Perpignan, Dumitru Motreanu Dept Math, F-66860 Perpignan, France
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 130卷
关键词：
Hemivariational inequality; Differential inclusion; Competing operator; p-Laplacian; Generalized solution; Weak solution;
D O I：
10.1016/j.cnsns.2023.107741
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper studies a differential inclusion and a related hemivariational inequality under the presence of a competing operator constructed with p-Laplacian and q-Laplacian and depending on a parameter mu is an element of R. Two types of solutions are considered: generalized solutions and weak solutions. For each mu it is proven the existence of a generalized solution. If mu = 0 it is shown that a generalized solution is a weak solution.
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页数：7
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