New advances on the regularity of solutions to equations ruled by the $\infty$-Laplacian

Abstract: The theory of regularity, beyond its theoretical relevance  in the study of partial differential equations, plays a central role  in modeling various natural phenomena, including those arising in  biology, materials science, fluid dynamics, and mathematical physics.

In this talk, we will present results concerning the regularity of  solutions to equations governed by the infinity Laplacian, with  particular emphasis on infinity-harmonic functions, as well as recent  advances on singular problems and Hénon-type equations.

Posted on Sep 2, 2025 in Differential Equations, Seminars