Liouville Theorem for $k-$curvature equation in half space with fully nonlinear boundary condition
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918272435224576 |
|---|---|
| author | Wei, Wei |
| author_facet | Wei, Wei |
| contents | We establish the Liouville theorem for positive constant $σ_{k}$-curvature equation in $\mathbb{R}_{+}^{n}$ and positive constant boundary $\mathcal{B}_{k}^{g}$ curvature equation, where the boundary curvature $\mathcal{B}_{k}^{g}$ is discovered by Sophie Chen \cite{Chen} from the natural variational functional for $σ_{k}(A_{g})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19268 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Liouville Theorem for $k-$curvature equation in half space with fully nonlinear boundary condition Wei, Wei Differential Geometry Analysis of PDEs We establish the Liouville theorem for positive constant $σ_{k}$-curvature equation in $\mathbb{R}_{+}^{n}$ and positive constant boundary $\mathcal{B}_{k}^{g}$ curvature equation, where the boundary curvature $\mathcal{B}_{k}^{g}$ is discovered by Sophie Chen \cite{Chen} from the natural variational functional for $σ_{k}(A_{g})$. |
| title | Liouville Theorem for $k-$curvature equation in half space with fully nonlinear boundary condition |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2403.19268 |