Electron. J. Diff. Eqns., Vol. 2000(2000), No. 14, pp. 1-20.

convergence of minimizers of a Ginzburg-Landau functional Yutian Lei & Zhuoqun Wu

Abstract:

on the class
,
where is a smooth map with Brouwer degree zero, and is greater than 2. In particular, we show that the minimizer converges to the p-harmonic map in as approaches zero.

Submitted September 2, 1999. Published February 21, 2000.
Math Subject Classifications: 35J70.
Key Words: Ginzburg-Landau functional, regularizable minimizer.

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Yutian Lei
Zhuoqun Wu (e-mail: wzq@mail.jlu.edu.cn )
Institute of Mathematics, Jilin University
130023 Changchun, P. R. China