An Ambrosetti‐Prodi‐type problem for an elliptic system ofequations via monotone iteration method and Leray‐Schauder degree theory

In this paper we employ the Monotone Iteration Method and the Leray‐Schauder Degree Theory to study an 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.