On the Holder continuous subsolution problem for the complex Monge-Ampere equation

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We give a necessary and sufficient condition for positive Borel measures such that the Dirichlet problem, with zero boundary data, for the complex Monge-Ampere equation admits Holder continuous plurisubharmonic solutions. In particular, when the subsolution has finite Monge-Ampere total mass, we obtain an affirmative answer to a question of Zeriahi et al. (Complex Var. Elliptic Equ. 61(7): 902-930, 2016).
Publisher
SPRINGER HEIDELBERG
Issue Date
2018-02
Language
English
Article Type
Article
Citation

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.57, no.1

ISSN
0944-2669
DOI
10.1007/s00526-017-1297-3
URI
http://hdl.handle.net/10203/268237
Appears in Collection
MA-Journal Papers(저널논문)
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