Non-removable singularities of a fourth-order nonlinear partial differential equation
type: Item
instance of: scholarly article
title: Non-removable singularities of a fourth-order nonlinear partial differential equation
zbMATH Open document ID: 1167.35008
author: J. Martínez
published in: Journal of Differential Equations
publication date: 2009-06-18T00:00:00Z
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35A20
zbMATH DE Number: 5566225
zbMATH Keywords: affine area
zbMATH Keywords: maximal affine surface
zbMATH Keywords: isolated singularity
zbMATH Keywords: non-removable singularity
zbMATH Keywords: fourth-order nonlinear partial differential equation
zbMATH Keywords: classification of the solutions
MaRDI profile type: Publication
full work available at URL: j.jde.2009.04.007
OpenAlex ID: W2052197260
cites work: The Cauchy problem for improper affine spheres and the Hessian one equation
cites work: Q4023465
cites work: Removable singularities of solutions to elliptic Monge-Ampère equations
cites work: The behaviour of solutions to elliptic Monge-Ampère equations at singular points
cites work: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
cites work: Hypersurfaces with Maximal Affinely Invariant Area
cites work: Q3694298
cites work: Q4222327
cites work: Q3881477
cites work: Embedded isolated singularities of flat surfaces in hyperbolic 3-space
cites work: Symmetry and uniqueness of parabolic affine spheres
cites work: An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres
cites work: The geometry of convex affine maximal graphs
cites work: The space of solutions to the Hessian one equation in the finitely punctured plane
cites work: The second variational formula for Willmore submanifolds in \(S^n\).
cites work: Isolated singularities of Monge-Ampère equations
cites work: Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
cites work: Harmonische Abbildungen und die Differentialgleichung \(rt-s^2=1\)
cites work: Isolated singularities for fully nonlinear elliptic equations
cites work: On the reflection laws of second order differential equations in two independent variables
cites work: Euclidean complete affine surfaces with constant affine mean curvature
cites work: Global affine differential geometry of hypersurfaces
cites work: Existence of surfaces minimizing the Willmore functional
cites work: Q4006509
cites work: Isolated Singularities of Monge-Ampere Equations
cites work: The Bernstein problem for affine maximal hypersurfaces
cites work: Q4542776
cites work: Extremal Hermitian metrics on Riemann surfaces with singularities
DOI: 10.1016/J.JDE.2009.04.007
Recommended article: Q4333228
Recommended article: Q3478778
Recommended article: Q3109572
Recommended article: Q5319143
Recommended article: Removable singularities of a class of fully nonlinear partial differential equations
Recommended article: Q4880697
Recommended article: Some results for fourth-order nonlinear differential equation with singularity
Recommended article: Q3841006
Recommended article: A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
Recommended article: Nonresonant singular fourth-order boundary value problems
description: scientific article; zbMATH DE number 5566225