We investigate the fractional -Laplacian equation . We obtain the monotonicity and symmetry of positive solutions of the fractional -Laplacian equation on bounded and unbounded domains. Specially, for unbounded case, we present a new decay at infinity.
Yajie Zhang. Feiyao Ma. Weifeng Wo. "Monotonicity and symmetry of solutions to fractional $p$-laplacian equations." Rocky Mountain J. Math. 50 (5) 1883 - 1892, October 2020. https://doi.org/10.1216/rmj.2020.50.1883