Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map

The author studies the asymptotic behavior of minimizers $u_{\varepsilon}$ of a p-energy functional with penalization as $\varepsilon \to 0$. Several kinds of convergence for the minimizer to the p-harmonic map are presented under different assumptions.

Bibliographic Details
Main Author: Yutian Lei
Format: Article
Language:English
Published: University of Szeged 2004-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=204
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spelling doaj-8b6ea122e04b4261b43082dfd54273bc2021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752004-09-0120041611710.14232/ejqtde.2004.1.16204Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic mapYutian Lei0Department of Mathematics, Nanjing Normal University, Nanjing, ChinaThe author studies the asymptotic behavior of minimizers $u_{\varepsilon}$ of a p-energy functional with penalization as $\varepsilon \to 0$. Several kinds of convergence for the minimizer to the p-harmonic map are presented under different assumptions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=204
collection DOAJ
language English
format Article
sources DOAJ
author Yutian Lei
spellingShingle Yutian Lei
Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Yutian Lei
author_sort Yutian Lei
title Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map
title_short Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map
title_full Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map
title_fullStr Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map
title_full_unstemmed Asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map
title_sort asymptotic behavior for minimizers of a p-energy functional associated with p-harmonic map
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2004-09-01
description The author studies the asymptotic behavior of minimizers $u_{\varepsilon}$ of a p-energy functional with penalization as $\varepsilon \to 0$. Several kinds of convergence for the minimizer to the p-harmonic map are presented under different assumptions.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=204
work_keys_str_mv AT yutianlei asymptoticbehaviorforminimizersofapenergyfunctionalassociatedwithpharmonicmap
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