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On the nonexistence of stable solutions of sub-elliptic systems with negative exponents

Authors: 

Anh Tuan Duong, Do Lan, Phuong Quynh Le, Phuong Thao Nguyen

Source title: 
Complex Variables and Elliptic Equations, 64(12), 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

In this paper, we study the sub-elliptic system

36.png

where p,q>1 and Δλ is an operator of the form 37.png. We establish some Liouville type results for bounded stable positive solutions of the system. As a consequence, we also obtain a nonexistence result for the scalar equation 

38.png