\(C^{2,\alpha}\)-estimate for Monge-Ampère equations with Hölder-continuous right hand side

DOI10.1007/s10455-015-9487-8zbMath1347.35118arXiv1406.5825OpenAlexW2264533260MaRDI QIDQ258031

Yuanqi Wang, Xiuxiong Chen

Publication date: 17 March 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5825

zbMATH Keywords

Monge-Ampère equationconic Kähler metricsSchauder estimate

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Monge-Ampère equations (35J96)

Related Items

\(\mathrm{G}_2\) manifolds with nodal singularities along circles ⋮ Kähler metrics with cone singularities along a divisor of bounded Ricci curvature ⋮ Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors ⋮ Calabi-Yau metrics with conical singularities along line arrangements ⋮ On the constant scalar curvature Kähler metrics (I)—A priori estimates ⋮ On the constant scalar curvature Kähler metrics (II)—Existence results ⋮ The Green's function for equations with conic metrics ⋮ A \(\mathcal{C}^{2, \alpha}\) estimate of the complex Monge-Ampère equation ⋮ Some new estimates for the complex Monge-Ampère equation ⋮ Gravitational instantons with faster than quadratic curvature decay. III.

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