Calculus of Variations and Geometric Measure Theory

G. Paoli - G. Piscitelli - R. Sannipoli

A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle

created by piscitelli on 31 Aug 2022
modified on 11 Sep 2022



Inserted: 31 aug 2022
Last Updated: 11 sep 2022

Year: 2020

ArXiv: 2005.04449 PDF


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.