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arXiv · 2103.02955

Comparison results for the solutions to the anisotropic Laplacian with Robin boundary conditions

Rossano Sannipoli
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Abstract

In this paper we consider PDE's problems involving the anisotropic Laplacian operator, with Robin boundary conditions. By means of Talenti techniques, widely used in the last decades, we prove a comparison result between the solutions of the above-mentioned problems and the solutions of the symmetrized ones. As a consequence of these results, a Bossel-Daners type inequality can be shown in dimension 2.

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Rossano Sannipoli. 2021-03-04. Comparison results for the solutions to the anisotropic Laplacian with Robin boundary conditions. https://arxiv.org/abs/2103.02955

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