A Sharp Bound for the Growth of Minimal Graphs

We consider minimal graphs u = u ( x , y ) > 0 over unbounded domains D ⊂ R 2 bounded by a Jordan arc γ on which u = 0 . We prove a sort of reverse Phragmén-Lindelöf theorem by showing that if D contains a sector S λ = { ( r , θ ) = { - λ / 2 < θ < λ / 2 } , π < λ ≤ 2 π , then the rate o...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Computational methods and function theory 2021-12, Vol.21 (4), p.905-914
1. Verfasser:	Weitsman, Allen
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Computational Mathematics and Numerical Analysis Functions of a Complex Variable Graphs Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!