Oberwolfach Reports


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Volume 6, Issue 1, 2009, pp. 355–428
DOI: 10.4171/OWR/2009/06

Published online: 2009-12-23

Low Eigenvalues of Laplace and Schrödinger Operators

Mark S. Ashbaugh[1], Rafael D. Benguria[2], Richard S. Laugesen[3] and Timo Weidl[4]

(1) University of Missouri, Columbia, USA
(2) Pontificia Universidad Católica de Chile, Santiago de Chile, Chile
(3) University of Illinois at Urbana-Champaign, USA
(4) Universität Stuttgart, Germany

This workshop brought together researchers interested in eigenvalue problems for Laplace and Schr¨dinger operators. The main topics o of discussions and investigations covered Dirichlet and Neumann eigenvalue problems, inequalities for the spectral gap, isoperimertic problems and sharp Lieb–Thirring type inequalities. The focus included not only the analytic and geometric sides of the problems, but also related probabilistic and computational aspects.

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Ashbaugh Mark, Benguria Rafael, Laugesen Richard, Weidl Timo: Low Eigenvalues of Laplace and Schrödinger Operators. Oberwolfach Rep. 6 (2009), 355-428. doi: 10.4171/OWR/2009/06