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http://dx.doi.org/10.4134/JKMS.2009.46.6.1207

ON ENERGY ESTIMATES FOR A LANDAU-LIFSCHITZ TYPE FUNCTIONAL IN HIGHER DIMENSIONS  

Qi, Longxing (INSTITUTE OF MATHEMATICS SCHOOL OF MATHEMATICS AND COMPUTER SCIENCE NANJING NORMAL UNIVERSITY)
Lei, Yutian (INSTITUTE OF MATHEMATICS SCHOOL OF MATHEMATICS AND COMPUTER SCIENCE NANJING NORMAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.6, 2009 , pp. 1207-1218 More about this Journal
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;
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