A direct method of moving planes for the fractional p-Laplacian systems with negative powers

In this talk, we will introduce the direct method of moving planes for the fractional p-Laplacian systems with negative powers. The key theorems are decay at infinity and a boundary estimate in the direct method of moving planes. Moreover, we apply the direct method of moving planes to obtain the radial symmetry and monotonicity of the positive solutions for the fractional p-Laplacian systems with negative powers in the whole space.

海报