Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
Kei Funano
Analysis and Geometry in Metric Spaces, Tome 4 (2016), / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:287137 
@article{bwmeta1.element.doi-10_1515_agms-2016-0015,
     author = {Kei Funano},
     title = {Applications of the `Ham Sandwich Theorem' to Eigenvalues of the Laplacian},
     journal = {Analysis and Geometry in Metric Spaces},
     volume = {4},
     year = {2016},
     zbl = {1354.58024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0015}
}

Kei Funano. Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian. Analysis and Geometry in Metric Spaces, Tome 4 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0015/