An overdetermined problem related to the p-Laplacian on Riemannian manifolds
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909973521367040 |
|---|---|
| author | Huang, Guangyue Luo, Chunlei Song, Hongru |
| author_facet | Huang, Guangyue Luo, Chunlei Song, Hongru |
| contents | In this paper, we study the overdetermined problem for the p-Laplacian equation on a compact Riemannian manifold with positive Ricci curvature. By introducing a new P-function which is related to the first nonzero eigenvalue for p-Laplacian, we obtain some integral identities. As their applications, the Heintze-Karcher type inequality and the Soap Bubble Theorem have been achieved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19329 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An overdetermined problem related to the p-Laplacian on Riemannian manifolds Huang, Guangyue Luo, Chunlei Song, Hongru Analysis of PDEs Differential Geometry In this paper, we study the overdetermined problem for the p-Laplacian equation on a compact Riemannian manifold with positive Ricci curvature. By introducing a new P-function which is related to the first nonzero eigenvalue for p-Laplacian, we obtain some integral identities. As their applications, the Heintze-Karcher type inequality and the Soap Bubble Theorem have been achieved. |
| title | An overdetermined problem related to the p-Laplacian on Riemannian manifolds |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2512.19329 |