Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 226
Liouville theorems for stable at infinity solutions of Lane-Emden system
Foued Mtiri, Dong Ye
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2198
April 15, 2198

Abstract: We consider the Lane-Emden system −∆u = v^p, −∆v = u^θ in R^N, and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for any p, θ > 0 under the Sobolev hyperbola.