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 SUBMANIFOLDS

Authors: Julien Roth ORCID-iD1

  • 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)

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Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.difgeo.2011.07.005
  • 10.1016/j.difgeo.2011.07.005
A Reilly inequality for the first Steklov eigenvalue

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