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.
Longxing Qi and Yutian Lei
Nanjing Normal University and Nanjing Normal University
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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