Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911410972262400 |
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| author | Ghimenti, Marco Micheletti, Anna Maria Pistoia, Angela |
| author_facet | Ghimenti, Marco Micheletti, Anna Maria Pistoia, Angela |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22829 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition Ghimenti, Marco Micheletti, Anna Maria Pistoia, Angela Analysis of PDEs 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. |
| title | Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.22829 |