On \(W^{2, p}\)-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions (Q2149007)

The main purpose of the paper is to prove existence and uniqueness and to derive a \(W^{2,p}\)-estimate for viscosity solutions to a fully nonlinear elliptic obstacle problem with oblique boundary data. Indeed, the authors discuss in particular the existence, uniqueness and \(W^{2,p}\)-regularity for approximate non-obstacle problems and then carry out the limiting process to deduce their result.