Isoperimetric Bounds for Lower Order Eigenvalues

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.

19 pages

References in corpus (2)

• Some isoperimetric inequalities with application to the Stekloff problem
• Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem