Regularity for Fully Nonlinear Elliptic Equations with Oblique Boundary Conditions.

In this paper, we obtain a series of regularity results for viscosity solutions of fully nonlinear elliptic equations with oblique derivative boundary conditions. In particular, we derive the pointwise <italic>C</italic>α, <italic>C</italic>1,α and <italic>C</italic>2,α regularity. As byproducts, we also prove the A-B-P maximum principle, Harnack inequality, uniqueness and solvability of the equations. [ABSTRACT FROM AUTHOR]