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Autors principals: Paoli, Gloria, Piscitelli, Gianpaolo, Sannipoli, Rossano
Format: Preprint
Publicat: 2020
Matèries:
Accés en línia:https://arxiv.org/abs/2005.04449
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author Paoli, Gloria
Piscitelli, Gianpaolo
Sannipoli, Rossano
author_facet Paoli, Gloria
Piscitelli, Gianpaolo
Sannipoli, Rossano
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2005_04449
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
Paoli, Gloria
Piscitelli, Gianpaolo
Sannipoli, Rossano
Analysis of PDEs
28A75, 35J25, 35P15
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.
title A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
topic Analysis of PDEs
28A75, 35J25, 35P15
url https://arxiv.org/abs/2005.04449