A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
Analysis of PDEs
2024-10-08 v3
Abstract
In this paper we study the first Steklov-Laplacian eigenvalue with an internal fixed spherichal obstacle. We prove that the spherical shell locally maximizes the first eigenvalue among nearly spherical sets when both the internal ball and the volume are fixed.
Keywords
Cite
@article{arxiv.2005.04449,
title = {A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle},
author = {Gloria Paoli and Gianpaolo Piscitelli and Rossano Sannipoli},
journal= {arXiv preprint arXiv:2005.04449},
year = {2024}
}