JournalsowrVol. 6 / No. 1DOI 10.4171/owr/2009/06

Low Eigenvalues of Laplace and Schrödinger Operators

  • Timo Weidl

    Universität Stuttgart, Germany
  • Rafael D. Benguria

    Pontificia Universidad Católica de Chile, Santiago de Chile, Chile
  • Mark S. Ashbaugh

    University of Missouri, Columbia, USA
  • Richard S. Laugesen

    University of Illinois at Urbana-Champaign, USA
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Abstract

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.