On the Hölder continuous subsolution problem for the complex Monge-Ampère equation

DOI10.1007/S00526-017-1297-3zbMath1388.32029arXiv1703.01549OpenAlexW2963253093WikidataQ59610362 ScholiaQ59610362MaRDI QIDQ1703127

Ngoc Cuong Nguyen

Publication date: 1 March 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01549

zbMATH Keywords

plurisubharmonic functionscomplex Monge-Ampère equationpseudoconvex domains

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (11)

Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity ⋮ Continuous solutions to the complex \(m\)-Hessian type equation on strongly \(m\)-pseudoconvex domains in \(\mathbb{C}^n\) ⋮ Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets ⋮ The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations ⋮ An Inequality Between Complex Hessian Measures of Hölder Continuous m-subharmonic Functions and Capacity ⋮ A remark on the continuous subsolution problem for the complex Monge-Ampère equation ⋮ Local Hölder continuity of solutions of the complex Monge-Ampère equation ⋮ The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains ⋮ On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II ⋮ The Hölder continuous subsolution theorem for complex Hessian equations ⋮ The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary

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