On a class of degenerate potential elliptic system
The author studies a class of degenerate elliptic systems of the form \[ \begin{gathered} -\text{div}(a(x)\nabla u)= F_1(\lambda,x,u,v),\\ -\text{div}(b(x)\nabla u)= F_2(\lambda, x,u,v),\\ u|_{\partial\Omega}= v|_{\partial\Omega}= 0,\end{gathered} \] where \(F_1\), \(F_2\), \(a(x)\), \(b(x)\) are given functions, and \(\Omega\) is a not necessarily bounded domain.
scientific article; zbMATH DE number 2123248