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\begin{document}

\title{Nash-type equlibria for systems of partially potential nonlinear
equations}



\author[1]{David Barilla}%
\author[2]{Michał Bełdziński}%
\author[3]{Marek Galewski}%
\affil[1]{University of Messina Department of Economics}%
\affil[2]{Lodz University of Technology Faculty of Technical Physics Information Technology and Applied Mathematics}%
\affil[3]{Lodz University of Technology}%


\vspace{-1em}



  
  \date{June 18, 2024}


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\begin{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.%
\end{abstract}%



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