Brock-type isoperimetric inequality for Steklov eigenvalues of the Witten-Laplacian
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910406046384128 |
|---|---|
| author | Mao, Jing Zhang, Shijie |
| author_facet | Mao, Jing Zhang, Shijie |
| contents | In this paper, by imposing suitable assumptions on the weighted function, (under the constraint of fixed weighted volume) a Brock-type isoperimetric inequality for Steklov-type eigenvalues of the Witten-Laplacian on bounded domains in a Euclidean space or a hyperbolic space has been proven. This conclusion is actually an interesting extension of F. Brock's classical result about the isoperimetric inequality for Steklov eigenvalues of the Laplacian given in the influential paper [Z. Angew. Math. Mech. 81 (2001) 69-71]. Besides, a related open problem has also been proposed in this paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07412 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Brock-type isoperimetric inequality for Steklov eigenvalues of the Witten-Laplacian Mao, Jing Zhang, Shijie Analysis of PDEs Differential Geometry 35P15, 49Jxx, 35J15 In this paper, by imposing suitable assumptions on the weighted function, (under the constraint of fixed weighted volume) a Brock-type isoperimetric inequality for Steklov-type eigenvalues of the Witten-Laplacian on bounded domains in a Euclidean space or a hyperbolic space has been proven. This conclusion is actually an interesting extension of F. Brock's classical result about the isoperimetric inequality for Steklov eigenvalues of the Laplacian given in the influential paper [Z. Angew. Math. Mech. 81 (2001) 69-71]. Besides, a related open problem has also been proposed in this paper. |
| title | Brock-type isoperimetric inequality for Steklov eigenvalues of the Witten-Laplacian |
| topic | Analysis of PDEs Differential Geometry 35P15, 49Jxx, 35J15 |
| url | https://arxiv.org/abs/2404.07412 |