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Electronic Journal: Southwest Journal of Pure and Applied Mathematics

Internet: http://rattler.cameron.edu/swjpam.html

ISSN 1083-0464

Issue 2, December 2003, pp. 60–84.

Submitted: March 31, 2003. Published: December 31 2003.

RADIAL MINIMIZER OF A P-GINZBURG-LANDAU TYPE

FUNCTIONAL WITH NORMAL IMPURITY INCLUSION

Yutian Lei

Abstract. The author proves theW1,p and C1,αconvergence of the radial mini-mizersuεof an Ginzburg-Landau type functional asε→0. The zeros of the radial minimizer are located and the convergent rate of the module of the minimizer is estimated.

A.M.S. (MOS) Subject Classification Codes.

35B25, 35J70, 49K20, 58G18

Key Words and Phrases.

Radial minimizer, Asymptotic behavior,

p-Ginzburg-Landau

Department of Mathematics, Nanjing Normal University, Nanjing, P.R.China E-Mail Address: [email protected]

c

2003 Cameron University

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