Eigenvalue and gap estimates of isometric immersions for the Dirichlet-to-Neumann operator acting on \(p\)-forms

DOI10.1016/j.crma.2019.01.006zbMath1410.58014OpenAlexW2911857009WikidataQ128417102 ScholiaQ128417102MaRDI QIDQ666733

Deborah Michel

Publication date: 12 March 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2019.01.006

zbMATH Keywords

differential formsfirst eigenvalueDirichlet-to-Neumann operatorSteklov operatorRiemannian manifold with boundary\(p\)-forms

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Boundary value problems on manifolds (58J32)

Related Items (2)

Some recent developments on the Steklov eigenvalue problem ⋮ New eigenvalue estimates involving Bessel functions

Cites Work

• A Reilly formula and eigenvalue estimates for differential forms
• On the first eigenvalue of the Dirichlet-to-Neumann operator on forms
• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• An isoperimetric inequality and the first Steklov eigenvalue
• A comparison theorem for the first non-zero Steklov eigenvalue
• Hodge decomposition. A method for solving boundary value problems
• On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain
• Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms

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