Existence and multiplicity of positive periodic solutions to Minkowski-curvature equations without coercivity condition (Q2059992)
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scientific article; zbMATH DE number 7442680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and multiplicity of positive periodic solutions to Minkowski-curvature equations without coercivity condition |
scientific article; zbMATH DE number 7442680 |
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Existence and multiplicity of positive periodic solutions to Minkowski-curvature equations without coercivity condition (English)
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13 December 2021
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The authors provide an Ambrosetti-Prodi type result for periodic solutions to scalar second order differential equations involving a relativistic differential operator and a singularity in the attractive force. A new method of construction of the lower solution and some properties of Leray-Schauder degree are needed in the proof.
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Minkowski-curvature equation
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periodic solutions
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degree theory
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lower and upper solutions
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