Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.14648 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916955670183936 |
|---|---|
| author | Li, Qinfeng Wei, Juncheng Yao, Ruofei |
| author_facet | Li, Qinfeng Wei, Juncheng Yao, Ruofei |
| contents | We prove the monotonicity property of the Robin torsion function in a smooth planar domain $Ω$ with a line of symmetry, provided that the Robin coefficient $β$ is greater than or equal to the negative of the boundary curvature $κ$ (i.e., $β\geq -κ$ on $\partialΩ$). We also show that this condition is, in a certain sense, sharp by constructing a counterexample. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14648 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monotonicity properties of the Robin torsion function in a class of symmetric planar domains Li, Qinfeng Wei, Juncheng Yao, Ruofei Analysis of PDEs We prove the monotonicity property of the Robin torsion function in a smooth planar domain $Ω$ with a line of symmetry, provided that the Robin coefficient $β$ is greater than or equal to the negative of the boundary curvature $κ$ (i.e., $β\geq -κ$ on $\partialΩ$). We also show that this condition is, in a certain sense, sharp by constructing a counterexample. |
| title | Monotonicity properties of the Robin torsion function in a class of symmetric planar domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.14648 |