English

Reilly-type upper bounds for the $p$-Steklov problem on submanifolds

Differential Geometry 2022-07-12 v1

Abstract

We prove Reilly-type upper bounds for the first non-zero eigenvalue of the Steklov problem associated with the pp-Laplace operator on submanifolds of manifolds with sectional curvature bounded form above by a non-negative constant.

Keywords

Cite

@article{arxiv.2207.04510,
  title  = {Reilly-type upper bounds for the $p$-Steklov problem on submanifolds},
  author = {Julien Roth and Abhitosh Upadhyay},
  journal= {arXiv preprint arXiv:2207.04510},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-25T00:47:40.271Z