About a Pólya-Schiffer inequality

Bodo Dittmar; Maren Hantke

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Equality in Wielandt’s eigenvalue inequality

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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.