Seminario Análisis y EDPs

Convexity and quasiconvexity and their associated equations

Ponente:  Julio Rossi (Universidad de Buenos Aires)
Fecha:  miércoles 10 de marzo de 2021 - 15:00
Lugar:  Online - Info:

Our goal is to look at the notion of convexity and the equations associated with the convex envelope of a datum in different contexts. In the first part of this talk we deal with PDEs given in terms of eigenvalues of the Hessian and their relation with concave/convex functions. We will also include a fractional version of the involved ideas. In the second part we will describe a notion of convexity for functions defined on a regular tree (a graph in which each node (except one) is connected with a fixed number of successors and one predecessor).