Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
DOI: 10.48550/arxiv.2601.22829
Cited by: 0

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.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Nonlinear Partial Differential Equations Differential Equations and Boundary Problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
30 January 2026
Document type
Preprint