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Liouville theorem for fractional Hénon-Lane-Emden systems on a half space

Authors: 

Phuong Le

Source title: 
Proceedings of the Royal Society of Edinburgh - Section A: Mathematics, 1-14, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

This paper is concerned with the fractional system

A

where b. By exploiting a direct method of scaling spheres for fractional systems, we prove that if c and d is a nonnegative strong solution of the system, then e.