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

Abstract

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