EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS

Julien Roth

doi:10.46298/cm.9282

Julien Roth - EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS

cm:9282 - Communications in Mathematics, May 12, 2022, Volume 30 (2022), Issue 1 - https://doi.org/10.46298/cm.9282

EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDSArticle

Authors: Julien Roth ¹

1 Laboratoire d'Analyse et de Mathématiques Appliquées

We prove Reilly-type upper bounds for the first non-zero eigen-value of the Steklov problem associated with the p-Laplace operator on sub-manifolds with boundary of Euclidean spaces as well as for Riemannian products R × M where M is a complete Riemannian manifold.

https://doi.org/10.46298/cm.9282

Source: HAL:hal-02466652v2

Volume: Volume 30 (2022), Issue 1

Published on: May 12, 2022

Accepted on: April 5, 2022

Submitted on: July 27, 2020

Keywords: [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]

Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)