Room 6.2.33, Faculty of Sciences of the Universidade de Lisboa — Online

Damião Araújo

Damião Araújo, Universidade Federal da Paraíba
Regularity in diffusion models with gradient activation

In this talk, we discuss sharp regularity estimates for solutions of highly degenerate fully nonlinear elliptic equations. These are free boundary models in which a nonlinear diffusion process drives the system only in the region where the gradient surpasses a given threshold. This is joint work with Aelson Sobral, Universidade Federal da Paraíba - Brazil, and Eduardo Teixeira, University of Central Florida - EUA.