June 16th 2015
Tuesday 16th EHESS, 105 bd Raspail, room 11 - 75006 Paris
Some recent results on the principal eigenvalue of fully nonlinear elliptic operators
The first part of the talk reports on a joint research with H. Berestycki, A. Porretta and L. Rossi centered on the relation between a suitably defined notion of principal eigenvalue and the validity of the maximum principle for a general class of degenerate elliptic operators. In the second part I will describe briefly an approximation procedure for the effective computation of the principal eigenvalue based on a min-max formula which goes back to Donsker-Varadhan and later generalized by Berestycki-Nirenberg-Varadhan.This topic is the subject of a work in collaboration with I. Birindelli and F. Camilli.
Poster here
The first part of the talk reports on a joint research with H. Berestycki, A. Porretta and L. Rossi centered on the relation between a suitably defined notion of principal eigenvalue and the validity of the maximum principle for a general class of degenerate elliptic operators. In the second part I will describe briefly an approximation procedure for the effective computation of the principal eigenvalue based on a min-max formula which goes back to Donsker-Varadhan and later generalized by Berestycki-Nirenberg-Varadhan.This topic is the subject of a work in collaboration with I. Birindelli and F. Camilli.
Poster here
