Nash-type equilibria for systems of partially potential nonlinear equations

被引：1
|
作者：
Beldzinski, Michal [1 ]
Galewski, Marek [1 ]
Barilla, David [2 ]
机构：
[1] Lodz Univ Technol, Inst Math, Al Politech 8, PL-93590 Lodz, Poland
[2] Univ Messina, Dept Econ, Messina, Italy
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 11期
关键词：
Dirichlet problem; Browder-Minty theorem; Nash-type equilibrium; non-potential system;
D O I：
10.1002/mma.8739
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 of a Nash-type equilibrium for a non-potential nonlinear system by combining variational methods with the monotonicity approach. The advance over existing research is that we can consider systems of Dirichlet problems in which the operator is not necessarily linear.
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页码：11830 / 11841
页数：12
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