A Reilly inequality for the first Steklov eigenvalue

DOI10.1016/j.difgeo.2011.07.005zbMath1222.35131OpenAlexW2053519960WikidataQ115356801 ScholiaQ115356801MaRDI QIDQ719866

Ola Makhoul, Said Ilias

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.07.005

zbMATH Keywords

first eigenvalueLaplacianHsiung-Minkowski formulasSteklov\(r\)-th mean curvatureReilly inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral flows (58J30)

Related Items (17)

Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms ⋮ Trace and inverse trace of Steklov eigenvalues ⋮ On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain ⋮ Eigenvalue estimates of Reilly type in product manifolds and eigenvalue comparison for strip domains ⋮ Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds ⋮ REILLY-TYPE UPPER BOUNDS FOR THE p-STEKLOV PROBLEM ON SUBMANIFOLDS ⋮ Estimates for eigenvalues of the Neumann and Steklov problems ⋮ Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space ⋮ Reilly-type inequalities for Paneitz and Steklov eigenvalues ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Estimates for higher Steklov eigenvalues ⋮ Upper bounds for the first non-zero Steklov eigenvalue via anisotropic mean curvatures ⋮ Estimates for eigenvalues of the Wentzell-Laplace operator ⋮ A Reilly inequality for the first non-zero eigenvalue of a class of operators on Riemannian manifold ⋮ Trace and inverse trace of Steklov eigenvalues. II. ⋮ Steklov eigenvalues and quasiconformal maps of simply connected planar domains ⋮ The overdetermined problem and lower bound estimate on the first nonzero Steklov eigenvalue of \(p\)-Laplacian

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