Monotonicity properties of the Robin torsion function in a class of symmetric planar domains
Abstract We prove the monotonicity property of the Robin torsion function in a smooth planar domain with a line of symmetry, provided that the Robin coefficient is greater than or equal to the negative of the boundary curvature , that is, on . We also construct a counterexample showing that the curvature condition cannot, in general, be removed.
Authors
- Ruofei Yao (ORCID: https://orcid.org/0000-0003-2010-8409)
- Juncheng Wei (ORCID: https://orcid.org/0000-0001-5262-477X)
- Qinfeng Li (ORCID: https://orcid.org/0000-0002-5411-9862)
Institutions
- Hunan University (CN)
- Chinese University of Hong Kong (HK)
- South China University of Technology (CN)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-10-31
- DOI
- https://doi.org/10.1112/blms.70532
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Basic and Applied Basic Research Foundation of Guangdong Province