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Nash-type equlibria for systems of partially potential nonlinear equations
  • David Barilla,
  • Michał Bełdziński,
  • Marek Galewski
David Barilla
University of Messina Department of Economics

Corresponding Author:[email protected]

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Michał Bełdziński
Lodz University of Technology Faculty of Technical Physics Information Technology and Applied Mathematics
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Marek Galewski
Lodz University of Technology
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Abstract

In this paper we study the existence of a Nash-type equlibrium 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.

Peer review status:ACCEPTED

22 Apr 2022Submitted to Mathematical Methods in the Applied Sciences
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23 Apr 2022Submission Checks Completed
23 Apr 2022Assigned to Editor
25 May 2022Reviewer(s) Assigned
31 Aug 2022Review(s) Completed, Editorial Evaluation Pending
02 Sep 2022Editorial Decision: Revise Minor
02 Sep 20221st Revision Received
05 Sep 2022Submission Checks Completed
05 Sep 2022Assigned to Editor
06 Sep 2022Review(s) Completed, Editorial Evaluation Pending
07 Sep 2022Editorial Decision: Accept