Bounds for the Steklov eigenvalues

DOI10.1007/s00013-018-1238-1zbMath1402.53048OpenAlexW2888926887MaRDI QIDQ1626642

Sheela Verma

Publication date: 21 November 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1238-1

zbMATH Keywords

LaplacianSteklov eigenvalue problemradial curvaturerotationally invariant metric

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (7)

Nonnegative solutions of an indefinite sublinear Robin problem. II: Local and global exactness results ⋮ An isoperimetric inequality for the harmonic mean of the Steklov eigenvalues in hyperbolic space ⋮ On a Steklov-Robin eigenvalue problem ⋮ Sharp bounds for Steklov eigenvalues on star-shaped domains ⋮ An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Sharp Steklov upper bound for submanifolds of revolution

Cites Work

• Bounds in the Neumann problem for second order uniformly elliptic operators
• An isoperimetric inequality and the first Steklov eigenvalue
• Comparison of Steklov eigenvalues on a domain and Laplacian eigenvalues on its boundary in Riemannian manifolds
• A comparison theorem for the first non-zero Steklov eigenvalue
• Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space
• A Lower Bound for the First Steklov Eigenvalue on a Domain
• Sharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue
• Lower Bounds for Stekloff and Free Membrane Eigenvalues
• Steklov eigenvalues and quasiconformal maps of simply connected planar domains
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