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- W2962912671 abstract "In this paper, we generalize the Hersch–Payne–Schiffer inequality for Steklov eigenvalues to higher dimensional case by extending the trick used by Hersch, Payne and Schiffer to higher dimensional manifolds. More precisely, we show that, for a compact oriented Riemannian manifold with boundary of dimension n, the multiplication of a Steklov eigenvalue for functions and a Steklov eigenvalue for differential (n−2)-forms can be controlled from above by a certain eigenvalue of the Laplacian operator on the boundary." @default.
- W2962912671 created "2019-07-30" @default.
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- W2962912671 date "2017-05-01" @default.
- W2962912671 modified "2023-10-03" @default.
- W2962912671 title "A higher dimensional generalization of Hersch–Payne–Schiffer inequality for Steklov eigenvalues" @default.
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- W2962912671 doi "https://doi.org/10.1016/j.jfa.2017.02.023" @default.
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