3 papers
math.AP2019
Sharp regularity for degenerate obstacle type problems: a geometric approach
João Vitor Da Silva, Hernán Vivas
We prove sharp regularity estimates for solutions of obstacle type problems driven by a class of degenerate fully nonlinear operators; more specifically, we consider viscosity solu…
math.AP2019
regularity for fully nonlinear nonlocal equations with bounded right hand side
Hernán Vivas
We establish sharp interior regularity estimates for solutions of fully nonlinear nonlocal equations with bounded right hand side. More precisely, we show that if is a…
math.AP2019
The obstacle problem for a class of degenerate fully nonlinear operators
João Vitor Da Silva, Hernán Vivas
We study the obstacle problem for fully nonlinear elliptic operators with an anisotropic degeneracy on the gradient: \[ \min \left\{f-|Du|^γF(D^2u),u-ϕ\right\} = 0 \quad\textrm{ in…