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
Description
Summary: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.
ISSN:1417-3875
1417-3875