\(C^{2,\alpha}\) regularities and estimates for nonlinear elliptic and parabolic equations in geometry

DOI10.1007/s00526-015-0948-5zbMath1336.32034arXiv1410.3354OpenAlexW3099433422WikidataQ115387342 ScholiaQ115387342MaRDI QIDQ262225

Jianchun Chu

Publication date: 29 March 2016

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

Full work available at URL: https://arxiv.org/abs/1410.3354

zbMATH Keywords

\(C^{2,\alpha}\) estimatesCalabi-Yau equation in almost complex geometryMonge-Ampère equation with conical singularities

Mathematics Subject Classification ID

Almost complex manifolds (32Q60) Complex Monge-Ampère operators (32W20) Other partial differential equations of complex analysis in several variables (32W50)

Related Items (12)

Kähler manifolds and mixed curvature ⋮ The Chern-Ricci flow ⋮ A parabolic approach to the Calabi-Yau problem in HKT geometry ⋮ Leafwise flat forms on Inoue-Bombieri surfaces ⋮ An almost complex Chern-Ricci flow ⋮ Conical Kähler-Ricci flows on Fano manifolds ⋮ The parabolic Monge-Ampère equation on compact almost Hermitian manifolds ⋮ The Green's function for equations with conic metrics ⋮ A \(\mathcal{C}^{2, \alpha}\) estimate of the complex Monge-Ampère equation ⋮ The Monge-Ampère equation for non-integrable almost complex structures ⋮ Transverse fully nonlinear equations on Sasakian manifolds and applications ⋮ A Parabolic Monge–Ampère Type Equation of Gauduchon Metrics

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