The A Priori Estimate and Existence of the Positive Solution for A Nonlinear System Involving the Fractional Laplacian

Ran Zhuo, Yan Li

In the paper, we consider the fractional elliptic system \begin{equation*}\left\{\begin{array}{ll} (- Δ)^{\frac{α_1}{2}}u(x)+\sum\limits^n_{i=1}b_i(x)\frac{\partial u}{\partial x_i…