Global Higher Integrability of the Gradient of the A-Laplace Equation Solution

In this paper, we establish higher integrability of the gradient of the solution of the quasilinear elliptic equation ${\mathrm{\Delta }}_{A}u=\text{div}\left(\frac{a(\mathrm{\mid }F\mathrm{\mid })}{\mathrm{\mid }F\mathrm{\mid }}F\right)$ in ${\mathbb{R}}^n$, where ${\mathrm{\Delta }}_{A}u$ is the so called A-Laplace operator.