Calculus of Variations and Geometric Measure Theory

Regularity results for a class of degenerate/singular fully nonlinear free transmission problems

Sumiya Baasandorj

created by malchiodi on 27 Nov 2023

11 dec 2023 -- 15:30   [open in google calendar]

SNS, Aula Mancini


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 $\{Du = 0\}$.