On a class of degenerate potential elliptic system
type: Item
instance of: scholarly article
title: On a class of degenerate potential elliptic system
zbMATH Open document ID: 1073.35080
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2004-12-16T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 2123248
zbMATH Keywords: degenerate elliptic systems
zbMATH Keywords: existence
author: Nikolaos B. Zographopoulos
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s00030-003-1048-3
OpenAlex ID: W2009981843
DOI: 10.1007/S00030-003-1048-3
description: scientific article; zbMATH DE number 2123248