A quasilinear eigenvalue problem with Robin conditions on the non-smooth domain of finite measure (Q606472)
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scientific article; zbMATH DE number 5816833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quasilinear eigenvalue problem with Robin conditions on the non-smooth domain of finite measure |
scientific article; zbMATH DE number 5816833 |
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A quasilinear eigenvalue problem with Robin conditions on the non-smooth domain of finite measure (English)
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17 November 2010
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Summary: We consider a nonlinear eigenvalue problem involving the \(p\)-Laplacian with Robin boundary conditions on a domain of finite measure. We show existence, simplicity and isolation of the principal eigenvalue and regularity results for the corresponding eigenfunction. Furthermore, we establish the link between the Dirichlet and Neumann problems by means of the Robin boundary conditions with variable parameter.
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nonlinear eigenvalue problem
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\(p\)-Laplacian
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Robin boundary conditions
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non-smooth domains
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