Calculus of Variations and Geometric Measure Theory

N. Gavitone - G. Piscitelli

A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue

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



Inserted: 31 aug 2022
Last Updated: 11 sep 2022

Year: 2021

ArXiv: 2111.03385 PDF


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.