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In this paper we employ the Monotone Iteration Method and the Leray-SchauderDegree Theory to study an ℝ2-parametrized system of ellipticequations. We obtain a curve dividing the plane into two regions. Dependingon 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

An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory