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 |
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Pages (from-to) | 317-325 |
Number of pages | 9 |
Journal | Analysis and Geometry in Metric Spaces |
Volume | 4 |
Issue number | 1 |
DOIs | |
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