Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms

Kwok-Kun Kwong

Research output: Contribution to journal › Article

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

Kwong, Kwok-Kun. / Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms. In: Calculus of Variations and Partial Differential Equations. 2016 ; Vol. 55, No. 2.
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Kwong, K-K 2016, 'Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms', Calculus of Variations and Partial Differential Equations, vol. 55, no. 2, 38. https://doi.org/10.1007/s00526-016-0977-8

Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms. / Kwong, Kwok-Kun.

In: Calculus of Variations and Partial Differential Equations, Vol. 55, No. 2, 38, 01.04.2016.

Research output: Contribution to journal › Article

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Kwong K-K. Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms. Calculus of Variations and Partial Differential Equations. 2016 Apr 1;55(2). 38. https://doi.org/10.1007/s00526-016-0977-8

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