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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
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…