Interior Regularity Estimates for Fully Nonlinear Equations with Arbitrary Nonhomogeneous Degeneracy Laws

This 40-minute conference talk by Pêdra Andrade at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) explores regularity results for a class of degenerate, fully nonlinear elliptic equations with arbitrary nonhomogeneous degeneracy laws. Presented as part of the Workshop on "Degenerate and Singular PDEs" held at ESI in February 2025, the talk demonstrates how viscosity solutions can be locally continuously differentiable under suitable conditions on degeneracy laws. Learn about the proof methodology that combines improvement of flatness techniques with an alternative recursive algorithm for renormalizing approximating solutions, establishing connections between this model and homogeneous, fully nonlinear, uniformly elliptic equations.