Isoperimetric Bounds for Lower Order Eigenvalues

Published 5 Oct 2021 in math.AP | (2110.01869v1)

Abstract: New isoperimetric inequalities for lower order eigenvalues of the Laplacian on closed hypersurfaces, of the biharmonic Steklov problems and of the Wentzell-Laplace on bounded domains in a Euclidean space are proven. Some open questions for further study are also proposed.

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