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arXiv · 2111.03385

A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue

Nunzia Gavitone·Gianpaolo Piscitelli
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Abstract

In this paper, we consider the first Steklov-Dirichlet eigenvalue of the Laplace operator in annular domain with a spherical hole. We prove a monotonicity result with respect the hole, when the outer region is centrally symmetrc.

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Nunzia Gavitone, Gianpaolo Piscitelli. 2021-11-05. A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue. https://doi.org/10.1007/s13163-023-00482-1

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