Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms

DOI10.1007/s00526-016-0977-8zbMath1344.58015arXiv1207.3999OpenAlexW2309623648MaRDI QIDQ283566

Kwok-Kun Kwong

Publication date: 13 May 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3999

zbMATH Keywords

eigenvalue estimateHodge LaplacianSteklov eigenvaluedifferential formBochner curvatureReilly formula

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global Riemannian geometry, including pinching (53C20) Hodge theory in global analysis (58A14)

Related Items (8)

Eigenvalue estimates of Reilly type in product manifolds and eigenvalue comparison for strip domains ⋮ A higher dimensional generalization of Hersch-Payne-Schiffer inequality for Steklov eigenvalues ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Estimates for higher Steklov eigenvalues ⋮ The first nonzero eigenvalue of the p-Laplacian on differential forms ⋮ The Steklov Problem on Differential Forms ⋮ Optimal lower eigenvalue estimates for Hodge-Laplacian and applications ⋮ Trace and inverse trace of Steklov eigenvalues. II.

Cites Work

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