\(p\)-harmonic maps and convex functions
type: Item
instance of: scholarly article
title: \(p\)-harmonic maps and convex functions
zbMATH Open document ID: 0933.58018
DOI: 10.1023/A:1005042831356
author: Shigeo Kawai
published in: Geometriae Dedicata
publication date: 2000-03-29T00:00:00Z
review text: The following theorem is proved. Let \(M\) be a complete noncompact Riemannian manifold, \(N\) a simply connected Riemannian manifold of nonpositive curvature, and \(\varphi:M\to N\) a \(C^1\) \(p\)-harmonic map. Then \(\varphi\) is constant, provided that \(\int_M\|d\varphi \|^{p-1}< \infty\).
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 1270438
zbMATH Keywords: convex function
zbMATH Keywords: \(p\)-harmonic map
reviewed by: J. Eells
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1270438