Symmetric solutions to minimization of a p-energy functional with ellipsoid value

The author proves the $W^{1,p}$ convergence of the symmetric minimizers $u_{\varepsilon}=(u_{\varepsilon 1},u_{\varepsilon 2},u_{\varepsilon 3})$ of a p-energy functional as $\varepsilon \to 0$, and the zeros of $u_{\varepsilon 1}^2+u_{\varepsilon 2}^2$ are located roughly. In addition,the estimate...

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Bibliographic Details
Main Author: Yutian Lei
Format: Article
Language:English
Published: University of Szeged 2003-12-01
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=174