Liouville-type theorems for the Lane-Emden equation in the half-space and cones - Université de Picardie Jules Verne Accéder directement au contenu
Article Dans Une Revue Journal of Functional Analysis Année : 2023

Liouville-type theorems for the Lane-Emden equation in the half-space and cones

Résumé

We prove that 0 is the only classical solution of the Lane -Emden equation in the half-space which is stable outside a compact set. We also consider weak solutions and the case of general cones.

Dates et versions

hal-04061277 , version 1 (06-04-2023)

Identifiants

Citer

Louis Dupaigne, Alberto Farina, Troy Petitt. Liouville-type theorems for the Lane-Emden equation in the half-space and cones. Journal of Functional Analysis, 2023, 284 (10), pp.109906. ⟨10.1016/j.jfa.2023.109906⟩. ⟨hal-04061277⟩
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