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On Ashbaugh-Benguria's Conjecture about Lower Order Dirichlet Eigenvalues of the Laplacian. (arXiv:1810.09415v1 [math.AP])
来源于:arXiv
In this paper, we prove an isoperimetric inequality for lower order
eigenvalues of the Dirichlet Laplacian in bounded domains of a Euclidean space
which strengthens the well-known Ashbaugh-Beguria inequality about the ratio of
the first two Dirichlet eigenvalues of the same domains and supports strongly a
conjecture of Ashbaugh-Benguria. 查看全文>>
