Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian

Kei Funano. "Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian." Analysis and Geometry in Metric Spaces 4.1 (2016): 317-325, electronic only. <http://eudml.org/doc/287137>.

@article{KeiFunano2016,
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.},
author = {Kei Funano},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {Eigenvalues of the Laplacian; convexity; Ham Sandwich Theorem; eigenvalues of the Laplacian; ham sandwich theorem},
language = {eng},
number = {1},
pages = {317-325, electronic only},
title = {Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian},
url = {http://eudml.org/doc/287137},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Kei Funano
TI - Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
JO - Analysis and Geometry in Metric Spaces
PY - 2016
VL - 4
IS - 1
SP - 317
EP - 325, electronic only
AB - 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.
LA - eng
KW - Eigenvalues of the Laplacian; convexity; Ham Sandwich Theorem; eigenvalues of the Laplacian; ham sandwich theorem
UR - http://eudml.org/doc/287137
ER -