On the Serrin problem for ring-shaped domains: the $n$-dimensional case

Virginia Agostiniani; Chiara Bernardini; Stefano Borghini; Lorenzo Mazzieri

On the Serrin problem for ring-shaped domains: the $n$-dimensional case

Analysis of PDEs 2025-10-13 v2

Authors: Virginia Agostiniani , Chiara Bernardini , Stefano Borghini , Lorenzo Mazzieri

Abstract

We provide several characterizations of ring-shaped rotationally symmetric solutions to the Serrin problem in arbitrary dimensions.

Keywords

painlevé equations sphere packings and spherical designs pseudoconvex domains

Cite

@article{arxiv.2505.04458,
  title  = {On the Serrin problem for ring-shaped domains: the $n$-dimensional case},
  author = {Virginia Agostiniani and Chiara Bernardini and Stefano Borghini and Lorenzo Mazzieri},
  journal= {arXiv preprint arXiv:2505.04458},
  year   = {2025}
}