An ultracontractivity property for semigroups generated by the \(p\)-Laplacian with nonlinear Wentzell-Robin boundary conditions (Q1032710)
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scientific article; zbMATH DE number 5620719
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An ultracontractivity property for semigroups generated by the \(p\)-Laplacian with nonlinear Wentzell-Robin boundary conditions |
scientific article; zbMATH DE number 5620719 |
Statements
An ultracontractivity property for semigroups generated by the \(p\)-Laplacian with nonlinear Wentzell-Robin boundary conditions (English)
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26 October 2009
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The author obtains a Hölder continuity property for the of the nonlinear submarcovian semigroup generated by the \(p\)-Laplacian \(\Delta_p\) with Wentzell--Robin type boundary condition \[ \Delta_pu+|\nabla u|^{p-2}{{\partial u}\over {\partial n}}+\beta(\cdot,u)\ni0. \]
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\(p\)-Laplacian
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semigroups of nonlinear operators
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nonlinear submarcovian semigroup
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