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

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  • D. C. de Morais Filho

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.

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Handle: RePEc:wly:jnlaaa:v:1:y:1996:i:2:p:137-152
DOI: 10.1155/S1085337596000061
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