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.
Cite this article
Timo Weidl, Rafael D. Benguria, Mark S. Ashbaugh, Richard S. Laugesen, Low Eigenvalues of Laplace and Schrödinger Operators. Oberwolfach Rep. 6 (2009), no. 1, pp. 355–428DOI 10.4171/OWR/2009/06