Symmetry of solutions for a fractional system

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（10）
• 页码范围: 1805-1824
• 页数: 20页
• 语种: 英文
• DOI: 10.1007/s11425-016-0231-x

摘要

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.