Non-Existence Results for Stable Solutions to Weighted Elliptic Systems including Advection Terms

Suleman Alfalqi
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Suleman Alfalqi: Department of Mathematics, College of Sciences and Arts in Mahayil Asir, King Khalid University, Abha 61421, Saudi Arabia

Mathematics, 2022, vol. 10, issue 2, 1-17

Abstract: In this paper, we study a non-linear weighted Grushin system including advection terms. We prove some Liouville-type theorems for stable solutions of the system, based on the comparison property and the bootstrap iteration. Our results generalise and improve upon some previous works.

Keywords: Liouville-type theorem; stable solutions; weighted Grushin system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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