G. Paoli - G. Piscitelli - R. Sannipoli
A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
preprint
Inserted: 31 aug 2022
Last Updated: 11 sep 2022
Year: 2020
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.