Symmetry of Positive Solutions to Quasilinear Fractional Systems

Abstract

Using the method of moving planes, we establish the radial symmetry of positive solutions to the fractional systemin the entire Euclidean space R n and in the unit ball, where 0 < s, t < 1 and p, q ≥ 2. In particular, our result can be applied to the nonlinearities f (u, v) ≡ u a v b and g(u, v) ≡ u c v d , where a, d ∈ R and b, c > 0.