Symmetry and monotonicity of positive solutions to Schrödinger systems with fractional p-Laplacians

In this paper, we first establish narrow region principle and decay at infinity theorems to extend the direct method of moving planes for general fractional p-Laplacian systems. By virtue of this method, we investigate the qualitative properties of positive solutions for the following Schrödinger system with fractional p-Laplacian {(−Δ)psu+aup−1=f(uv)(−Δ)ptv+bvp−1=g(uv)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left\{ {\matrix{{( - \Delta )_p^su + a{u^{p - 1}} = f(u,v),} \cr {( - \Delta )_p^tv + b{v^{p - 1}} = g(u,v),} \cr } } \right.$$\end{document}