Singularity and decay estimates for the conformal \(k\)-hessian equation via Liouville-type theorems
type: Item
instance of: scholarly article
title: Singularity and decay estimates for the conformal \(k\)-hessian equation via Liouville-type theorems
zbMATH Open document ID: 1195.35140
author: Yong Huang
author: Lu Xu
published in: Archiv der Mathematik
publication date: 2009-09-25T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B53
zbMATH DE Number: 5607238
zbMATH Keywords: conformal \(k\)-Hessian equation
zbMATH Keywords: regularity
zbMATH Keywords: Liouville-type theorem
MaRDI profile type: Publication
full work available at URL: s00013-009-0022-7
OpenAlex ID: W2019304930
cites work: An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
cites work: Q3378986
cites work: The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
cites work: A variational theory of the Hessian equation
cites work: Prescribing symmetric functions of the eigenvalues of the Ricci tensor
cites work: A fully nonlinear conformal flow on locally conformally flat manifolds
cites work: On the regularity of solutions to fully nonlinear elliptic equations via the Liouville property
cites work: Local gradient estimates of solutions to some conformally invariant fully nonlinear equations
cites work: On some conformally invariant fully nonlinear equations
cites work: On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe
cites work: Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
cites work: Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
cites work: Quasilinear and Hessian equations of Lane-Emden type
cites work: The Yamabe problem for higher order curvatures
cites work: Conformal geometry, contact geometry, and the calculus of variations
cites work: Q5439824
cites work: A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry
cites work: Hessian estimates for the sigma‐2 equationin dimension 3
DOI: 10.1007/S00013-009-0022-7
description: scientific article; zbMATH DE number 5607238