The Dirichlet problem for \(m\)-subharmonic functions on compact sets

The Dirichlet problem for \(m\)-subharmonic functions on compact sets

We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous \(m\)-subharmonic functions defined on a compact set, and then within the class of \(m\)-harmonic functions.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2018-12
Hauptverfasser: Ahag, Per, Czyz, Rafal, Hed, Lisa
Format: Artikel
Sprache:eng
Schlagworte:
Continuity (mathematics)
Dirichlet problem
Harmonic functions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous \(m\)-subharmonic functions defined on a compact set, and then within the class of \(m\)-harmonic functions.
ISSN:2331-8422