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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…
math.SP2018
The Steklov and Laplacian spectra of Riemannian manifolds with boundary
Bruno Colbois, Alexandre Girouard, Asma Hassannezhad
Given two compact Riemannian manifolds with boundary and such that their respective boundaries and admit neighborhoods and which are isometric,…