An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory (Q1809715)
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scientific article; zbMATH DE number 1370617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory |
scientific article; zbMATH DE number 1370617 |
Statements
An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory (English)
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25 November 1999
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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.
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variational techniques
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a priori estimates
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