On stable entire solutions of sub-elliptic system involving advection terms with negative exponents and weights

Abstract We examine the weighted Grushin system involving advection terms given by { Δ G u − a ⋅ ∇ G u = ( 1 + ∥ z ∥ 2 ( α + 1 ) ) γ 2 ( α + 1 ) v − p in  R n , Δ G v − a ⋅ ∇ G v = ( 1 + ∥ z ∥ 2 ( α + 1 ) ) γ 2 ( α + 1 ) u − q in  R n , $$ \textstyle\begin{cases} \Delta _{G} u - a \cdot \nabla _{G}...

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Bibliographic Details
Main Author: Belgacem Rahal
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02385-x