Applications of the `Ham Sandwich Theorem' to eigenvalues of the Laplacian

Kei Funano

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arXiv · 1609.05549

Applications of the `Ham Sandwich Theorem' to eigenvalues of the Laplacian

Kei Funano

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Abstract

We apply Gromov's ham sandwich method to get (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in a Euclidean space.

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BibTeX RIS

Kei Funano. 2016-09-18. Applications of the `Ham Sandwich Theorem' to eigenvalues of the Laplacian. https://arxiv.org/abs/1609.05549

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