ABSTRACT

We employ discrete and continuous time flows to approximate optimal constants and functions for which equality holds in various inequalities such as Poincaré’s and Morrey’s inequality. The discrete time scheme is based on the inverse iteration method for square matrices and the continuous time flow is a particular type of doubly nonlinear evolution. Our methods apply more generally to nonlinear eigenvalue problems with simple principle eigenvalues. [Light refreshments will be served outside the venue at 4:00-4:30 pm. Please come and join us.]