A Liouville type theorem for non-linear elliptic systems involving advection terms
https://doi.org/10.1080/17476933.2017.1403427Publisher, magazine: ,
Publication year: 2018
Lưu Trích dẫn Chia sẻAbstract
In this paper, we study the following elliptic system where a is a smooth divergence-free vector field satisfying some decay condition and . We establish a Liouville type result for stable positive solutions of the system in the case and . In particular, when , our result is a natural extension of Cowan [Nonlinear Anal. 2014;104:1–11] to the equation with advection.
Tags: Liouville-type theorem, advection terms, stable solutions, elliptic systems
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