Classification results for a sub‐elliptic system involving the Δλ‐Laplacian
Anh Tuan Duong, Trung Hieu Giang, Phuong Le, Thi Hien Anh Vu · Mathematical Methods in the Applied Sciences · 2020
In this paper, we study a system of the form where and Δλ is a sub‐elliptic operator defined by Under some general hypotheses of the functions λi, , we first prove that the system has no positive super‐solution when p ≤ 1. In the case p > 1, we establish a Liouville type theorem for the class of stable positive solutions. This result is an extension of some result in Hajlaoui et al. (Pacific J Math. 2014;270(1):79–93) for the case of Laplace operator.