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

Author

Listed:
  • Suleman Alfalqi

    (Department of Mathematics, College of Sciences and Arts in Mahayil Asir, King Khalid University, Abha 61421, Saudi Arabia)

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.

Suggested Citation

  • Suleman Alfalqi, 2022. "Non-Existence Results for Stable Solutions to Weighted Elliptic Systems including Advection Terms," Mathematics, MDPI, vol. 10(2), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:252-:d:724772
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