  In this work, we develop weighted Lorentz-Sobolev estimates for viscosity
solutions of fully nonlinear elliptic equations with oblique boundary condition
under weakened convexity conditions in the following configuration $F(D^{2}u,
Du, u, x) = f(x)$ in $\Omega$ and $\beta\cdot Du+\gamma u=g$ on $\partial
\Omega$, where $\Omega$ is a bounded domain in $\mathbb{R}^{n}$ ($n \geq 2$),
under suitable assumptions on the source term f, data $\beta$, $\gamma$ and g.
In addition, we obtain Lorentz-Sobolev estimates for solutions to the obstacle
problem and others applications.
