An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory
type: Item
instance of: scholarly article
title: An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory
zbMATH Open document ID: 0932.35069
DOI: 10.1155/S1085337596000061
author: D. C. de Morais Filho
published in: Abstract and Applied Analysis
publication date: 1999-11-25T00:00:00Z
full work available at URL: https://eudml.org/doc/48344
full work available at URL: issue-2.html
review text: Summary: We employ the monotone iteration method and the Leray-Schauder degree theory to study an \(\mathbb{R}^2\)-parametrized system of elliptic equations. We obtain a curve dividing the plane into two regions. Depending on which region the parameter is, the system will or will not have solutions. This is an Ambrosetti-Prodi-type problem for a system of equations.
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1370617
zbMATH Keywords: variational techniques
zbMATH Keywords: a priori estimates
MaRDI profile type: Publication
OpenAlex ID: W2004545590
description: scientific article; zbMATH DE number 1370617