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Isaac Newton Institute for Mathematical Sciences

Some Eigenvalue Comparison Results

Author: Mark Ashbaugh (University of Missouri - Columbia)

Abstract

This talk will concern inequalities for the eigenvalues of certain differential operators, particularly those of the Laplacian under Dirichlet and/or Neumann boundary conditions, and of the eigenvalue problems arising in the study of the vibration and buckling of a clamped plate. Various results will be presented, including recent results of the speaker and F. Chiacchio for the Laplacian and of the speaker for the two aforementioned biharmonic problems.