Sharp Estimates for Green’s Functions of Cone-Type Planar Domains

Sharp Estimates for Green’s Functions of Cone-Type Planar Domains

We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes all estimates given by Zhao in 1988 and Selmi in 2000. Our principal idea is to use conformal mappings.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Complex Analysis 2016-01, Vol.2016, p.1-11
Hauptverfasser: Ben Boubaker, Mohamed Amine, Selmi, Mohamed
Format: Artikel
Sprache:eng
Schlagworte:
Conformal mapping
Domains
Estimates
Euclidean space
Functional equations
Functions
Mathematical research
Nonlinear programming
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes all estimates given by Zhao in 1988 and Selmi in 2000. Our principal idea is to use conformal mappings.
ISSN:2314-4963
2314-4971
DOI:10.1155/2016/7208285