A Rigidity Result for the Robin Torsion Problem
| Autor: | Masiello, Alba Lia, Paoli, Gloria |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $\Omega \subset \mathbb{R}^2$ be an open, bounded and Lipschitz set. We consider the torsion problem for the Laplace operator associated to $\Omega$ with Robin boundary conditions. In this setting, we study the equality case in the Talenti-type comparison, proved in arXiv:1909.11950. We prove that the equality is achieved only if $\Omega$ is a disk and the torsion function $u$ is radial. |
| Databáze: | arXiv |
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