The Bernstein theorem for a class of fourth order equations
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Publication:662837
DOI10.1007/s00526-011-0401-3zbMath1237.35059OpenAlexW2090023321WikidataQ125100978 ScholiaQ125100978MaRDI QIDQ662837
Publication date: 13 February 2012
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-011-0401-3
Related Items (7)
Solvability of a class of singular fourth order equations of Monge-Ampère type ⋮ Interior estimates for the Monge-Ampère type fourth order equations ⋮ Bernstein problem of affine maximal type hypersurfaces on dimension \(N \geq 3\) ⋮ A Bernstein theorem for affine maximal-type hypersurfaces ⋮ A Bernstein theorem for affine maximal type hypersurfaces under decaying convexity ⋮ The Bernstein problem for affine maximal type hypersurfaces under decaying convexity ⋮ Interior second derivative estimates for solutions to the linearized Monge-Ampère equation
Cites Work
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- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- Extremal metrics on toric surfaces: a continuity method
- Constant scalar curvature metrics on toric surfaces
- A Bernstein problem for special Lagrangian equations
- A Liouville theorem for solutions of the Monge--Ampère equation with periodic data.
- The Bernstein problem for affine maximal hypersurfaces
- A Bernstein property of affine maximal hypersurfaces
- A characterization of affine surface area
- A Bernstein property of solutions to a class of prescribed affine mean curvature equations
- On the improper convex affine hyperspheres
- Interior estimates for solutions of Abreu equation
- Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
- Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
- A Bernstein property of some fourth order partial differential equations
- Properties of the solutions of the linearized Monge-Ampere equation
- On graphic Bernstein type results in higher codimension
- Hypersurfaces with Maximal Affinely Invariant Area
- Boundary regularity of maps with convex potentials
- KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
- The affine Plateau problem
- Continuity Estimates for the Monge–Ampère Equation
- On S. Bernstein's Theorem on Surfaces z(x, y) of Nonpositive Curvature
- A Remark on a Theorem of Serge Bernstein
- Affine complete locally convex hypersurfaces
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