The blow-up of \(p\)-harmonic maps
type: Item
instance of: scholarly article
title: The blow-up of \(p\)-harmonic maps
zbMATH Open document ID: 0794.58012
DOI: 10.1007/BF02567846
published in: Manuscripta Mathematica
publication date: 1994-08-30T00:00:00Z
full work available at URL: https://eudml.org/doc/155889
review text: Theorem: Let \(\Omega\) denote an open bounded set in \(\mathbb{R}^ k\); if \(u_ n \rightharpoonup u\) weakly in \(H^{1,p} (\Omega,\mathbb{R}^ k)\) and \(\lim \partial_ \alpha (| \nabla u_ n|^{p-2} \partial_ \alpha u_ n)=0\) in the sense of distributions, then \(\partial_ \alpha (|\nabla u|^{p-2} \partial_ \alpha u)=0\). This has applications in the partial regularity of \(p\)-stationary maps \(\Omega\to S^{k-1}\).
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 510015
author: M. Fuchs
reviewed by: J. Eells
MaRDI profile type: Publication
cites work: Q4162207
cites work: Partial regularity for stationary harmonic maps into spheres
cites work: Q3310253
cites work: p-harmonic obstacle problems. I: Partial regularity theory
cites work: Mappings minimizing theLp norm of the gradient
cites work: On the existence of weak solutions of perturbated systems with critical growth.
cites work: Q3782476
OpenAlex ID: W2090124099
description: scientific article; zbMATH DE number 510015