Gradient estimates for the elliptic and parabolic Lichnerowicz equations on compact manifolds
type: Item
instance of: scholarly article
title: Gradient estimates for the elliptic and parabolic Lichnerowicz equations on compact manifolds
zbMATH Open document ID: 1223.58013
author: Xianfa Song
author: Lin Zhao
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2011-09-13T00:00:00Z
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 5947361
zbMATH Keywords: Lichnerowicz equation
zbMATH Keywords: gradient estimate
zbMATH Keywords: Harnack differential inequality
MaRDI profile type: Publication
full work available at URL: s00033-009-0047-6
OpenAlex ID: W2046100178
cites work: Q3657016
cites work: Q3155133
cites work: An extension of E. Hopf's maximum principle with an application to Riemannian geometry
cites work: The Einstein-scalar field constraints on asymptotically Euclidean manifolds
cites work: The constraint equations for the Einstein-scalar field system on compact manifolds
cites work: The problem of uniqueness of the limit in a semilinear heat equation
cites work: Q3995411
cites work: A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
cites work: Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
cites work: A gluing construction for non-vacuum solutions of the Einstein-constraint equations
cites work: Properties of positive solutions to an elliptic equation with negative exponent
cites work: Gradient estimate for the degenerate parabolic equation \(u_t=\Delta F(u)+H(u)\) on manifolds
cites work: The existence of surfaces of constant mean curvature with free boundaries
cites work: On the Harnack inequalities of partial differential equations
Wikidata QID: Q125910112
DOI: 10.1007/S00033-009-0047-6
description: scientific article; zbMATH DE number 5947361