Symmetry of components and Liouville-type theorems for semilinear elliptic systems involving the fractional Laplacian. (March 2019) - Yang, Hui
Abstract: In this paper, we study the symmetry of components of positive solutions for the fractional elliptic systems in the whole space R N . As an application, we prove the uniqueness of positive solutions for fractional Schrödinger type systems with critical exponents. We also prove the symmetry of components and some Liouville type theorems for a class of fractional noncooperative systems, which contains the systems arising in Bose–Einstein condensation and in biological models of Lotka–Volterra type.