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arXiv · 1808.10578

Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem

Feng Du·Jing Mao·Qiao-Ling Wang·Chang-Yu Xia
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Abstract

In this paper, we prove some isoperimetric bounds for lower order eigenvalues of the Wentzell-Laplace operator on bounded domains of a Euclidean space or a Hadamard manifold, of the Laplacian on closed hypersurfaces of a Euclidean space or a Hadamard manifold, and of a biharmonic Steklov problem on bounded domains of a Euclidean space. Especially, interesting rigidity results can be obtained if sharp bounds were achieved.

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Feng Du, Jing Mao, Qiao-Ling Wang, Chang-Yu Xia. 2018-08-31. Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem. https://arxiv.org/abs/1808.10578

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