An Ambrosetti-Prodi-type problem for an elliptic system of
equations via monotone iteration method and Leray-Schauder degree theory
D. C. de Morais Filho1
Received07 Mar 1996
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.