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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Aldo Pratelli
Universita di Pavia
Title: On the quantitative version of some spectral inequality

Abstract: In last years, some effort has been taken to obtain quantitative versions of the most classical spectral inequalities, namely the Faber-Krahn inequality for the first eigenvalue of the Dirichlet Laplacian and its generalization to the case of the p-Laplacian. In this talk, we will present two new results, which involve the second eigenvalue of the Dirichlet Laplacian or the second (that is, the first non-trivial) eigenvalue of the Neumann Laplacian. We will also discuss the sharpness of these two estimates. The results are in collaboration with Lorenzo Brasco (Napoli).

Date: Thursday, November 11, 2010
Time: 1:30 pm
Location: Wean Hall 8220
Submitted by:  David Kinderlehrer