Elliptic differential inequalities with applications to harmonic maps
type: Item
instance of: scholarly article
title: Elliptic differential inequalities with applications to harmonic maps
zbMATH Open document ID: 0802.58018
author: Andrea Ratto
author: M. Rigoli
published in: Journal of the Mathematical Society of Japan
publication date: 1994-11-27T00:00:00Z
review text: The authors begin with a detailed study of an ordinary differential equation on \(\mathbb{R}\) of the form \(\alpha'' (t) + g(t) \alpha' (t) = f(\alpha (t))\). That is applied (1) to obtain apriori estimates for the energy density of bounded harmonic maps \(\varphi : M \to N\), where the Ricci curvature of \(M\) has growth at \(\infty\), and \(N\) has nonpositive sectional curvature; (2) to problems involving suitable rotational symmetry. Proper attention is paid to various interactions with related literature, both old and new.
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 469065
zbMATH Keywords: Liouville theorem
zbMATH Keywords: harmonic maps
zbMATH Keywords: rotational symmetry
reviewed by: J. Eells
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04520321
OpenAlex ID: W2035651906
DOI: 10.2969/JMSJ/04520321
description: scientific article; zbMATH DE number 469065