Geometric eigenvalue estimates of Kuttler-Sigillito type on differential forms
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908826191527936 |
|---|---|
| author | Assali, Rodolphe Abou |
| author_facet | Assali, Rodolphe Abou |
| contents | We introduce a new biharmonic Steklov problem on differential forms with Dirichlet-type boundary conditions and show that it is elliptic. We prove the existence of a discrete spectrum for this problem and give variational characterizations for eigenvalues associated to it. We establish eigenvalue estimates known as Kuttler-Sigillito inequalities, that connect the eigenvalues of different problems on differential forms with curvature quantities on the manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09876 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric eigenvalue estimates of Kuttler-Sigillito type on differential forms Assali, Rodolphe Abou Differential Geometry Analysis of PDEs Spectral Theory We introduce a new biharmonic Steklov problem on differential forms with Dirichlet-type boundary conditions and show that it is elliptic. We prove the existence of a discrete spectrum for this problem and give variational characterizations for eigenvalues associated to it. We establish eigenvalue estimates known as Kuttler-Sigillito inequalities, that connect the eigenvalues of different problems on differential forms with curvature quantities on the manifold. |
| title | Geometric eigenvalue estimates of Kuttler-Sigillito type on differential forms |
| topic | Differential Geometry Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2602.09876 |