An extension of Jörgens-Calabi-Pogorelov theorem to parabolic Monge-Ampère equation
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Publication:1650901
DOI10.1007/s00526-018-1363-5zbMath1391.35250OpenAlexW2802335743WikidataQ115387245 ScholiaQ115387245MaRDI QIDQ1650901
Bo Wang, Wei Zhang, Ji Guang Bao
Publication date: 16 July 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1363-5
Asymptotic behavior of solutions to PDEs (35B40) Entire solutions to PDEs (35B08) Parabolic Monge-Ampère equations (35K96) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
- Bernstein theorem and regularity for a class of Monge-Ampère equations
- On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- Differentiation of integrals in \(\mathbb{R}^n\)
- Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
- A Liouville theorem for solutions of the Monge--Ampère equation with periodic data.
- Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data
- On the improper convex affine hyperspheres
- Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
- Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
- On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
- Deforming a hypersurface by its Gauss-Kronecker curvature
- Complete affine hypersurfaces. Part I. The completeness of affine metrics
- Shapes of worn stones
- A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- Geometric properties of the sections of solutions to the Monge-Ampère equation
- \(W^{2,p}\) estimates for the parabolic Monge-Ampère equation
- Some aspects of the global geometry of entire space-like submanifolds
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