Liouville type theorem for nonlinear elliptic system involving Grushin operator
https://doi.org/10.1016/j.jmaa.2017.05.029Publisher, magazine: ,
Publication year: 2017
Lưu Trích dẫn Chia sẻAbstract
We study the degenerate elliptic system of the form where is the Grushin operator, and . We establish some Liouville type results for stable solutions of the system. In particular, we prove the comparison principle – a crucial step to establish such results. As consequences, we obtain a Liouville type theorem for the scalar equation and provide a counterpart of the previous result in C. Cowan (2013) [7].
Tags: Liouville-type theorem; Grushin operator; Stable solutions; Elliptic system
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