An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory
Summary: We employ the monotone iteration method and the Leray-Schauder degree theory to study an \(\mathbb{R}^2\)-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.
scientific article; zbMATH DE number 1370617