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
D.C. de Morais Filho
Departamento de Matemática e Estatística, Universidade Federal da Paraíba, Caixa Postal 10044, Campina Grande 58.109-970, Pb, Brazil
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.