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math.DG2024
Large Steklov eigenvalues under volume constraints
Alexandre Girouard, Panagiotis Polymerakis
In this note we establish an expression for the Steklov spectrum of warped products in terms of auxiliary Steklov problems for drift Laplacians with weight induced by the warping f…
math.DG2016
The Steklov spectrum and coarse discretizations of manifolds with boundary
Bruno Colbois, Alexandre Girouard, Binoy Raveendran
We consider the class of compact n-dimensional Riemannian manifolds with cylindrical boundary, Ricci curvature bounded below by a given constant and injectivity radius bounded belo…