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

D. C. de Morais Filho

Abstract and Applied Analysis, 1996, vol. 1, 1-16

Abstract:

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.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:891916

DOI: 10.1155/S1085337596000061

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