Applications of the 'Ham Sandwich Theorem' to Eigenvalues of the Laplacian

Kei Funano

doi:10.1515/agms-2016-0015

Applications of the 'Ham Sandwich Theorem' to Eigenvalues of the Laplacian

Kei Funano

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 Euclidean space.

Original language	English
Pages (from-to)	317-325
Number of pages	9
Journal	Analysis and Geometry in Metric Spaces
Volume	4
Issue number	1
DOIs	https://doi.org/10.1515/agms-2016-0015
Publication status	Published - 2016
Externally published	Yes

Keywords

Eigenvalues of the Laplacian
Ham Sandwich Theorem
convexity

ASJC Scopus subject areas

Analysis
Geometry and Topology
Applied Mathematics

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Cite this

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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 Euclidean space.",

keywords = "Eigenvalues of the Laplacian, Ham Sandwich Theorem, convexity",

author = "Kei Funano",

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Applications of the 'Ham Sandwich Theorem' to Eigenvalues of the Laplacian

Abstract

Keywords

ASJC Scopus subject areas

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