Sharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue

zbMath1300.53036arXiv1208.1690MaRDI QIDQ3189408

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Publication date: 9 September 2014

Full work available at URL: https://arxiv.org/abs/1208.1690

zbMATH Keywords

geodesic ballSteklov eigenvalueSteklov problemfirst non-zero eigenvaluerank-1 symmetric space

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Global Riemannian geometry, including pinching (53C20)

Related Items (10)

The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript ⋮ Bounds for the Steklov eigenvalues ⋮ An isoperimetric inequality for the harmonic mean of the Steklov eigenvalues in hyperbolic space ⋮ A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue ⋮ Upper bound for the first nonzero eigenvalue related to the \(p\)-Laplacian ⋮ Sharp bounds for Steklov eigenvalues on star-shaped domains ⋮ The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ An upper bound for the first nonzero Neumann eigenvalue ⋮ Heat invariants of the Steklov problem

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