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arXiv · 2110.01869

Isoperimetric Bounds for Lower Order Eigenvalues

Fuquan Fang·Changyu Xia
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Abstract

New isoperimetric inequalities for lower order eigenvalues of the Laplacian on closed hypersurfaces, of the biharmonic Steklov problems and of the Wentzell-Laplace on bounded domains in a Euclidean space are proven. Some open questions for further study are also proposed.

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Fuquan Fang, Changyu Xia. 2021-10-05. Isoperimetric Bounds for Lower Order Eigenvalues. https://doi.org/10.2140/pjm.2022.317.297

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