Existence for translating solutions of Gauss curvature flow on exterior domains
type: Item
instance of: scholarly article
title: Existence for translating solutions of Gauss curvature flow on exterior domains
zbMATH Open document ID: 1242.35090
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-05-07T00:00:00Z
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 53C44
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6031261
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: Monge-Ampère
zbMATH Keywords: Perron method
zbMATH Keywords: prescribed asymptotic behavior
author: Hongjie Ju
author: Jiguang Bao
author: Huaiyu Jian
MaRDI profile type: Publication
full work available at URL: j.na.2012.01.020
OpenAlex ID: W2005113511
cites work: Shapes of worn stones
cites work: Deforming a hypersurface by its Gauss-Kronecker curvature
cites work: Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
cites work: Gauss curvature flow: The fate of the rolling stones
cites work: Complete noncompact self-similar solutions of Gauss curvature flows. I: Positive powers
cites work: Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
cites work: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
cites work: On the improper convex affine hyperspheres
cites work: Complete affine hypersurfaces. Part I. The completeness of affine metrics
cites work: An extension to a theorem of Jörgens, Calabi, and Pogorelov
cites work: An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres
cites work: The space of parabolic affine spheres with fixed compact boundary
cites work: Necessary and sufficient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains
cites work: Q4884693
cites work: Q4855688
cites work: The Monge-Ampère equation
cites work: Q5758550
cites work: Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
cites work: The Monge-Ampère equation with infinite boundary value
cites work: Q5187597
cites work: The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
DOI: 10.1016/J.NA.2012.01.020
description: scientific article; zbMATH DE number 6031261