Electron. J. Diff. Eqns., Vol. 2003(2003), No. 35, pp. 1-12.

Radial minimizer of a variant of the p-Ginzburg-Landau functional

Yutian Lei

Abstract:
We study the asymptotic behavior of the radial minimizer of a variant of the p-Ginzburg-Landau functional when $p \geq n$. The location of the zeros and the uniqueness of the radial minimizer are derived. We also prove the $W^{1,p}$ convergence of the radial minimizer for this functional.

Submitted December 30, 2002. Published April 3, 2003.
Math Subject Classifications: 35J70, 49K20.
Key Words: Radial minimizer, variant of p-Ginzburg-Landau functional

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Yutian Lei
Department of Mathematics
Nanjing Normal University
Nanjing, Jiangsu 210097, China
email: lythxl@163.com
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