11 dec 2023 -- 15:30 [open in google calendar]
SNS, Aula Mancini
Abstract.
The purpose of this talk is to consider $C^1$ regularity of viscosity solutions of a class of fully nonlinear free transmission problems of the form
Φ$(x, u,Du)$ $F(D^2 u) = f(x)$ in $B_1$
for a uniformly elliptic operator $F(·)$ and an appropriate function Φ$(·)$ satisfying minimal conditions, where ellipticity may degenerate or blow up along the region $\{Du = 0\}$.