Liouville type theorems for positive harmonic functions on the unit ball with a nonlinear boundary condition

Liouville type theorems for positive harmonic functions on the unit ball with a nonlinear boundary condition

We obtain some Liouville type theorems for positive harmonic functions on the unit ball with a nonlinear boundary condition. The proof is based on an integral identity and some Sobolev inequalities on the sphere.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Calculus of variations and partial differential equations 2023, Vol.62 (1), Article Paper No. 34, 13
Hauptverfasser: Lin, Daowen, Ou, Qianzhong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Boundary conditions
Calculus of Variations and Optimal Control
Optimization
Control
Harmonic functions
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theorems
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We obtain some Liouville type theorems for positive harmonic functions on the unit ball with a nonlinear boundary condition. The proof is based on an integral identity and some Sobolev inequalities on the sphere.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-022-02376-4