Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
Kei Funano · DOAJ (DOAJ: Directory of Open Access Journals) · 2016
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.