Exterior Dirichlet problem for Hessian equations on a non-convex ring
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915456441384960 |
|---|---|
| author | Li, Yanyan Xiao, Ling |
| author_facet | Li, Yanyan Xiao, Ling |
| contents | In this paper, we prove the existence of a solution for the exterior Dirichlet problem for Hessian equations on a non-convex ring. Moreover, the solution we obtained is smooth. This extends the result of [Bao-Li-Li, ``On the exterior Dirichlet problem for Hessian equations'' Trans. Amer. Math. Soc.366(2014)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exterior Dirichlet problem for Hessian equations on a non-convex ring Li, Yanyan Xiao, Ling Analysis of PDEs In this paper, we prove the existence of a solution for the exterior Dirichlet problem for Hessian equations on a non-convex ring. Moreover, the solution we obtained is smooth. This extends the result of [Bao-Li-Li, ``On the exterior Dirichlet problem for Hessian equations'' Trans. Amer. Math. Soc.366(2014)]. |
| title | Exterior Dirichlet problem for Hessian equations on a non-convex ring |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.08993 |