Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition
Analysis of PDEs
2026-02-02 v1
Abstract
This paper investigates the spectral properties of two classes of elliptic problems characterized by mixed Steklov-Robin boundary conditions. Our main objective is to prove that, for a generic domain, all the eigenvalues are simple. This result is established by employing domain perturbation techniques and analyzing the transversality of the associated operators.
Cite
@article{arxiv.2601.22829,
title = {Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition},
author = {Marco Ghimenti and Anna Maria Micheletti and Angela Pistoia},
journal= {arXiv preprint arXiv:2601.22829},
year = {2026}
}