Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms

Kwok-Kun Kwong

doi:10.1007/s00526-016-0977-8

Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms

Kwok-Kun Kwong

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We give some sharp lower bounds of the first eigenvalue for the Hodge Laplacian acting on differential forms on the boundary of a Riemannian manifold. We also give some sharp estimates for the first nonzero Steklov eigenvalue for differential forms.

Original language	English
Article number	38
Journal	Calculus of Variations and Partial Differential Equations
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/s00526-016-0977-8
Publication status	Published - 2016 Apr 1

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "We give some sharp lower bounds of the first eigenvalue for the Hodge Laplacian acting on differential forms on the boundary of a Riemannian manifold. We also give some sharp estimates for the first nonzero Steklov eigenvalue for differential forms.",

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