We consider a pseudo-differential system involving different fractional orders. Through an iteration method, we obtain the key ingredients—the maximum principles—of the method of moving planes. Then we derive symmet...We consider a pseudo-differential system involving different fractional orders. Through an iteration method, we obtain the key ingredients—the maximum principles—of the method of moving planes. Then we derive symmetry on non-negative solutions without any decay assumption at infinity.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 11571176)
文摘We consider a pseudo-differential system involving different fractional orders. Through an iteration method, we obtain the key ingredients—the maximum principles—of the method of moving planes. Then we derive symmetry on non-negative solutions without any decay assumption at infinity.