Radial symmetry results for fractional Laplacian systems

Abstract

In this paper, we generalize the direct method of moving planes for the fractional Laplacian to the system case. Considering a coupled nonlinear system with fractional Laplacian, we first establish a decay at infinity principle and a narrow region principle. Using these principles, we obtain two radial symmetry results for the decaying solutions of the fractional Laplacian systems. Our method can be applied to fractional Schrödinger systems and fractional Hénon systems.

19 pages

References in corpus (2)

• A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian
• A direct method of moving planes for the fractional Laplacian