English

A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue

Analysis of PDEs 2024-10-08 v9

Abstract

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.

Keywords

Cite

@article{arxiv.2111.03385,
  title  = {A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue},
  author = {Nunzia Gavitone and Gianpaolo Piscitelli},
  journal= {arXiv preprint arXiv:2111.03385},
  year   = {2024}
}
R2 v1 2026-06-24T07:27:31.201Z