Hölder continuity for solutions of the complex Monge-Ampère type equation

In this paper, we prove the existence and investigate the Hölder continuity of solutions to the Dirichlet problem of the complex Monge-Ampère type equation on a bounded strictly pseudoconvex domain Ω in Cn.

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Veröffentlicht in:	Journal of mathematical analysis and applications 2021-02, Vol.494 (1), p.124586, Article 124586
Hauptverfasser:	Hai, Le Mau, Quan, Vu Van
Format:	Artikel
Sprache:	eng
Schlagworte:	Bounded strictly pseudoconvex domain Complex Monge-Ampère type equation Dirichlet problem Hölder continuity of solutions to the Dirichlet problem
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Beschreibung
Zusammenfassung:	In this paper, we prove the existence and investigate the Hölder continuity of solutions to the Dirichlet problem of the complex Monge-Ampère type equation on a bounded strictly pseudoconvex domain Ω in Cn.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2020.124586