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- W2903032918 abstract "Given a smooth compact hypersurface $M$ with boundary $Sigma=partial M$, we prove the existence of a sequence $M_j$ of hypersurfaces with the same boundary as $M$, such that each Steklov eigenvalue $sigma_k(M_j)$ tends to zero as $j$ tends to infinity. The hypersurfaces $M_j$ are obtained from $M$ by a local perturbation near a point of its boundary. Their volumes and diameters are arbitrarily close to those of $M$, while the principal curvatures of the boundary remain unchanged." @default.
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- W2903032918 date "2018-11-28" @default.
- W2903032918 modified "2023-10-18" @default.
- W2903032918 title "Hypersurfaces of Euclidean space with prescribed boundary and small Steklov eigenvalues" @default.
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