Location of Zero Points of Minimizers in a Landau-Lifshitz Functional
Zhan De-sheng · Journal of Jiamusi University · 2011
The asymptotic behavior of the radial minimizer ue of the Landau-Lifshitz type functional Ee(u,B)=12 B∫|аu|2dx+12e2 B∫u23dx when e→0 in functional space W={u(x)=(sinf(r)eidθ,cosf(r))∈H1(B,S2);u|аB=g} was studied.Through the integral estimate of ue and the introduction of Scaling Law,the points where ue3 equals 1 will be located.