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The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains

In this paper, we are interested in studying the strictly F -pseudoconvex domains and solving the Dirichlet problem of the complex Monge–Ampère operator. We will prove that the solutions can be discontinuous in the usual sense.

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Bibliographic Details
Published in:Complex analysis and operator theory 2021-11, Vol.15 (8), Article 124
Main Authors: Hong, Nguyen Xuan, Lieu, Pham Thi
Format: Article
Language:English
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Summary:In this paper, we are interested in studying the strictly F -pseudoconvex domains and solving the Dirichlet problem of the complex Monge–Ampère operator. We will prove that the solutions can be discontinuous in the usual sense.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-021-01178-4