PreprintarXiv licencearXiv
All Serrin bands are unduloidal
Abstract
We show that any Serrin domain in ℝ2 with two boundary components is a member of the canonical unduloidal family
Related
- Serrin’s overdetermined problems on epigraphs
- Serrin-type overdetermination in scaling limits: Sharp existence and asymptotic behavior of quasi-linear Schrödinger energy ground states
- Stability of Serrin-Type Overdetermined Problems for the p-Laplacian and Related Operators
- Serrin-type overdetermined problem for the p-Laplacian with Robin boundary conditions
- Heintze--Karcher-Type Inequalities for the p-Laplacian and Serrin-Type Rigidity
BibTeX
@misc{hauswirth2026serrin,
title = {{All Serrin bands are unduloidal}},
author = {Laurent Hauswirth and Pablo Mira},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20581},
eprint = {2610.20581},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20581},
}
RIS
TY - UNPB
TI - All Serrin bands are unduloidal
AU - Laurent Hauswirth
AU - Pablo Mira
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20581
UR - https://arxiv.org/abs/2610.20581
AB - We show that any Serrin domain in ℝ^2 with two boundary components is a member of the canonical unduloidal family
ER -