On the first Robin eigenvalue of the Finsler \(p\)-Laplace operator as \(p \rightarrow 1\) (Q6612229)
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scientific article; zbMATH DE number 7920144
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the first Robin eigenvalue of the Finsler \(p\)-Laplace operator as \(p \rightarrow 1\) |
scientific article; zbMATH DE number 7920144 |
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On the first Robin eigenvalue of the Finsler \(p\)-Laplace operator as \(p \rightarrow 1\) (English)
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30 September 2024
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The paper investigates the asymptotic behavior of the first eigenvalue of the Finsler \(p\)-Laplacian, as \(p\rightarrow 1^+\), when the problem is studied on a given open, bounded, connected, sufficiently smooth subset of the Euclidean space \(\mathbb{R}^N\). An isoperimetric inequality for the limit is also proved.
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Finsler \(p\)-Laplace eigenvalues
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\( \Gamma \)-convergence
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isoperimetric inequalities
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trace inequalities
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strict interior approximation
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