• Bulletin of the Korean Mathematical Society
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• v.42 no.3
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• pp.509-520
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• 2005

The author studies the asymptotic behavior of the radial minimizer for a variant of the p-Ginzburg-Landau type functional, in the case of p larger than the dimension, when the parameter tends to zero. The C$^{1, convergence of the radial minimizer is proved. And the estimation of the convergent rate of the minimizer is given.

• Journal of the Korean Mathematical Society
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• v.46 no.6
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• pp.1207-1218
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• 2009

The authors study the asymptotic behavior of radial minimizers of an energy functional associated with ferromagnets and antiferromagnets in higher dimensions. The location of the zeros of the radial minimizer is discussed. Moreover, several uniform estimates for the radial minimizer are presented. Based on these estimates, the authors establish global convergence of radial minimizers.