2 papers
math.DG2021
Laplace and Steklov extremal metrics via -harmonic maps
Mikhail Karpukhin, Antoine Métras
We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on manifolds of arbitrary dimension using the notion of -harmonic maps. Our approach…
math.SP2018
Hypersurfaces of Euclidean space with prescribed boundary and small Steklov eigenvalues
Bruno Colbois, Alexandre Girouard, Antoine Métras
Given a smooth compact hypersurface with boundary , we prove the existence of a sequence of hypersurfaces with the same boundary as , such that each Stek…