Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms

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6 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 languageEnglish
Article number38
JournalCalculus of Variations and Partial Differential Equations
Volume55
Issue number2
DOIs
Publication statusPublished - 2016 Apr 1

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Eigenvalue Estimates
Differential Forms
First Eigenvalue
Riemannian Manifold
Lower bound
Eigenvalue
Estimate

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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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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