An Ambrosetti‐Prodi‐type problem for an elliptic system ofequations via monotone iteration method and Leray‐Schauder degree theory
Daniel C. de Morais Filho · Abstract and Applied Analysis · 1996
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.