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arXiv · 2107.10595

Two inequalities for the first Robin eigenvalue of the Finsler Laplacian

Giuseppina Di Blasio·Nunzia Gavitone
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Abstract

Let Ωbe a bounded connected, open set of \R^n with Lipschitz boundary. Let F be a suitable norm in \R^n and let Δ_F u be the so-colled Finsler Laplacian. In this paper we prove two inequalities for the first eigenvalue of Δ_F with Robin boundary conditions involving a positive function β. As a consequence of our result we obtain the asymptotic behavior of this eigenvalue when βis a positive constant which goes to zero.

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Giuseppina Di Blasio, Nunzia Gavitone. 2021-10-23. Two inequalities for the first Robin eigenvalue of the Finsler Laplacian. https://arxiv.org/abs/2107.10595

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