Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains

DOI10.1007/s13324-017-0175-7zbMath1402.32041arXiv1601.03149OpenAlexW2963736992MaRDI QIDQ1785700

Tran Van Thuy, Nguyen Xuan Hong

Publication date: 1 October 2018

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03149

zbMATH Keywords

Hölder continuous solutionscomplex Monge-Ampère equationpseudoconvex domains

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items (8)

Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets ⋮ Hölder continuity for solutions of the complex Hessian type equation ⋮ Hölder continuity for solutions of the complex Monge-Ampère type equation ⋮ Local Hölder continuity of solutions of the complex Monge-Ampère equation ⋮ The stability of solutions to the complex Monge-Ampère equations in bounded \(\mathcal{F} \)-hyperconvex domains ⋮ The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains ⋮ Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains ⋮ Envelope of plurisubharmonic functions in Cegrell's classes

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