Eigenvalue inequalities for mixed Steklov problems

zbMath1217.35127arXiv0909.5473MaRDI QIDQ3000313

Iosif Polterovich, Rodrigo Bañuelos, Tadeusz Kulczycki, Bartłomiej A. Siudeja

Publication date: 18 May 2011

Full work available at URL: https://arxiv.org/abs/0909.5473

zbMATH Keywords

sloshing eigenfunctionsSteklov-Dirichlet problemSteklov-Neumann problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (18)

Sloshing, Steklov and corners: asymptotics of sloshing eigenvalues ⋮ Degenerating sequences of conformal classes and the conformal Steklov spectrum ⋮ Computational Methods for Extremal Steklov Problems ⋮ Sharp spectral bounds on starlike domains ⋮ Composites with invisible inclusions: Eigenvalues of ℝ-linear problem ⋮ Eigenvalue bounds of mixed Steklov problems ⋮ An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole ⋮ A partially overdetermined problem in domains with partial umbilical boundary in space forms ⋮ Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces ⋮ On eigenvalue problems related to the Laplacian in a class of doubly connected domains ⋮ Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian ⋮ The shape of the fundamental sloshing mode in axisymmetric containers ⋮ A partially overdetermined problem in a half ball ⋮ Nodal sets of Steklov eigenfunctions ⋮ Maximal convex combinations of sequential Steklov eigenvalues ⋮ Compact manifolds with fixed boundary and large Steklov eigenvalues ⋮ A Variational Characterization of Fluid Sloshing with Surface Tension ⋮ On the first Steklov-Dirichlet eigenvalue for eccentric annuli

Uses Software

• Mathematica

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