Rigidity theorems for the entire solutions of 2-Hessian equation
type: Item
instance of: scholarly article
title: Rigidity theorems for the entire solutions of 2-Hessian equation
zbMATH Open document ID: 1439.35167
author: Li Chen
author: Ni Xiang
published in: Journal of Differential Equations
publication date: 2020-01-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/1809.02902
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 7151383
zbMATH Keywords: 2-Hessian equation
zbMATH Keywords: rigidity theorems
MaRDI profile type: Publication
OpenAlex ID: W2947470869
arXiv ID: 1809.02902
cites work: Liouville property and regularity of a Hessian quotient equation
cites work: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
cites work: Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
cites work: A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
cites work: An extension to a theorem of Jörgens, Calabi, and Pogorelov
cites work: The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
cites work: A Liouville problem for the sigma-2 equation
cites work: Optimal concavity of some Hessian operators and the prescribed \(\sigma_2\) curvature measure problem
cites work: Complete affine hypersurfaces. Part I. The completeness of affine metrics
cites work: Liouville and Calabi-Yau type theorems for complex Hessian equations
cites work: An analogue of Bernstein's theorem
cites work: Q4040640
cites work: Calibrated geometries
cites work: A Bernstein theorem for special Lagrangian graphs
cites work: Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
cites work: An interior estimate for convex solutions and a rigidity theorem
cites work: On the improper convex affine hyperspheres
cites work: Q4169389
cites work: The Bernstein problem for affine maximal hypersurfaces
cites work: Q3536061
cites work: Nonpolynomial entire solutions to σkequations
cites work: A Bernstein problem for special Lagrangian equations
cites work: Global solutions to special Lagrangian equations
Wikidata QID: Q127811758
DOI: 10.1016/J.JDE.2019.05.028
description: scientific article