Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
Keyword(s):
AbstractWe 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.
1993 ◽
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