REILLY-TYPE INEQUALITIES FOR PANEITZ AND STEKLOV EIGENVALUES - Archive ouverte HAL Access content directly
Journal Articles Potential Analysis Year : 2019

REILLY-TYPE INEQUALITIES FOR PANEITZ AND STEKLOV EIGENVALUES

Abstract

We prove Reilly-type upper bounds for different types of eigen-value problems on submanifolds of Euclidean spaces with density. This includes the eigenvalues of Panetiz-like operators as well as three types of generalized Steklov problems. In the case without density, the equality cases are discussed and we prove some stability results for hypersurfaces which derive from a general pinching result about the moment of inertia.
Fichier principal
Vignette du fichier
Paneitz-Steklov.pdf (375.85 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01539128 , version 1 (14-06-2017)

Identifiers

  • HAL Id : hal-01539128 , version 1

Cite

Julien Roth. REILLY-TYPE INEQUALITIES FOR PANEITZ AND STEKLOV EIGENVALUES. Potential Analysis, 2019, 53 (3), pp.773 - 798. ⟨hal-01539128⟩
148 View
303 Download

Share

Gmail Facebook Twitter LinkedIn More