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math-ph2005
A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space
Rafael D. Benguria, Helmut Linde
Let be some domain in the hyperbolic space $\Hn$ (with ) and the geodesic ball that has the same first Dirichlet eigenvalue as . We prove the Payne-Pólya-Weinb…
math-ph2005
A second eigenvalue bound for the Dirichlet Schroedinger operator
Rafael D. Benguria, Helmut Linde
Let be the th eigenvalue of the Schrödinger operator with Dirichlet boundary conditions on a bounded domain and with the positive potential . Follo…