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Sharp upper bounds for Steklov eigenvalues on warped products

Brisson, Jade et al.
arXiv (All) · Papers
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35p15analysis-of-pdesdifferential-geometryspectral-theory
We obtain sharp isoperimetric-type upper bounds for Steklov eigenvalues on warped products whose bases are compact Riemannian manifolds with boundary and whose fibres are closed Riemannian manifolds. These bounds involve the volume of the warped product and of its boundary, as well as the eigenvalue
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