Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2009; 46(6): 1207-1218

Printed November 1, 2009

https://doi.org/10.4134/JKMS.2009.46.6.1207

Copyright © The Korean Mathematical Society.

On energy estimates for a Landau-Lifschitz type functional in higher dimensions

Longxing Qi and Yutian Lei

Nanjing Normal University and Nanjing Normal University

Abstract

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.

Keywords: radial minimizer, energy functional of Landau-Lifschitz type, planar ferromagnets and antiferromagnets, higher dimensions, location of zeros

MSC numbers: 35B25, 35J70

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