Speaker: Professor Diego Maldonado (Kansas State University)

Title: A Harnack inequality for certain degenerate/singular elliptic PDEs shaped by convex functions. 

Abstract: Certain convex functions on Rn produce quasi-distances and Borel measures on Rn. Furthermore, their Hessians can shape degenerate/singular elliptic operators. We will describe geometric and measure-theoretic conditions on convex functions that allow to prove a Harnack inequality for nonnegative solutions to their associated elliptic operators.