A Bernstein property of some fourth order partial differential equations

DOI10.1007/s00025-009-0387-8zbMath1184.53017OpenAlexW2046377553MaRDI QIDQ2655718

An-Min Li, Fang Jia

Publication date: 26 January 2010

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

Full work available at URL: https://doi.org/10.1007/s00025-009-0387-8

zbMATH Keywords

Calabi metricBernstein propertyrelative hypersurfacesaffine Bernstein problemscharacterization of quadricsnonlinear PDEs of fourth order

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Affine differential geometry (53A15)

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