A Bernstein property of a class of fourth order complex partial differential equations

DOI10.1007/s00025-010-0030-8zbMath1202.32037OpenAlexW1993593558MaRDI QIDQ708728

Li Sheng, Gang Chen

Publication date: 14 October 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0030-8

zbMATH Keywords

Bernstein propertycomplete Kähler manifoldscomplex PDE of fourth order

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Other partial differential equations of complex analysis in several variables (32W50)

Related Items (1)

A note on the Bernstein property of a fourth order complex partial differential equations

Cites Work

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• A cubic form differential inequality with applications to affine Kähler-Ricci flat manifolds
• Extremal metrics on toric surfaces
• A Bernstein property of affine maximal hypersurfaces
• Interior estimates for solutions of Abreu equation
• A Bernstein property of some fourth order partial differential equations
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• Global affine differential geometry of hypersurfaces

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