Mark S. Ashbaugh

发表

More bounds on eigenvalue ratios for Dirichlet Laplacians in N dimensions

R. Benguria, Mark S. Ashbaugh, Rafael D. Benguria, 1993 .

On minimal and maximal eigenvalue gaps and their causes.

Evans M. Harrell, E. Harrell, Mark S. Ashbaugh, 1991 .

Rebuttal of Donnelly’s paper on the spectral gap

Antoine Henrot, Richard S. Laugesen, Mark S. Ashbaugh, 2011 .

Open Problems on Eigenvalues of the Laplacian

Mark S. Ashbaugh, M. Ashbaugh, 1999 .

A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions

R. Benguria, Mark S. Ashbaugh, Rafael D. Benguria, 1992 .

Spectral theory for perturbed Krein Laplacians in nonsmooth domains

Marius Mitrea, Gerald Teschl, Fritz Gesztesy, 2009, 0907.1442.

Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials

Mark S. Ashbaugh, Rafael D. Benguria, 1989 .

Universal bounds for the low eigenvalues of Neumann Laplacians in N dimensions

R. Benguria, Mark S. Ashbaugh, Rafael D. Benguria, 1993 .

The twisting tennis racket

Carmen Chicone, Richard Cushman, C. Chicone, 1991 .

Spectral Theory and Geometry: Isoperimetric and universal inequalities for eigenvalues

Mark S. Ashbaugh, M. Ashbaugh, 1999 .

Proof of the Payne-Pólya-Weinberger conjecture

R. Benguria, Mark S. Ashbaugh, Rafael D. Benguria, 1991 .

Eigenvalue Ratios for Sturm-Liouville Operators

R. Benguria, Mark S. Ashbaugh, Rafael D. Benguria, 1993 .

Lower bounds to bound state energies in bent tubes

Pavel Exner, P. Exner, Mark S. Ashbaugh, 1990 .

Isoperimetric Inequalities for Eigenvalues of the Laplacian

R. Benguria, Mark S. Ashbaugh, Rafael D. Benguria, 2007 .

The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H C Yang

Mark S. Ashbaugh, M. Ashbaugh, 2002 .