Abstract and Applied Analysis
Volume 1 (1996), Issue 2, Pages 137-152
doi:10.1155/S1085337596000061
An Ambrosetti-Prodi-type problem for an elliptic system of
equations via monotone iteration method and Leray-Schauder degree theory
Departamento de Matemática e Estatística, Universidade Federal da Paraíba, Caixa Postal 10044, Campina Grande 58.109-970, Pb, Brazil
Received 7 March 1996
Copyright © 1996 D. C. de Morais Filho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper we employ the Monotone Iteration Method and the Leray-Schauder
Degree Theory to study an ℝ2-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.