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arXiv · 2601.22829

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

Marco Ghimenti·Anna Maria Micheletti·Angela Pistoia
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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.

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Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia. 2026-01-30. Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition. https://arxiv.org/abs/2601.22829

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