高维铁磁涟系统与p-调和映射

High Dimensional Ferromagnetic Spin Chain System and p-Harmonic Maps

研究了与P-Laplace算子对映的铁磁链系统的Landau-Lifshitz方程，证明了该方程的从m（m≥3）维紧流形M（不带边界）映射到R3中的单位球面S2上的整体弱解的存在性；建立了p-调和映射理论与该方程的联系．

In this paper, the Landau-Lifshitz equation of ferromagentic chain systems is considered which is related to p-Laplacc operator, its solution from a m-dim compact manifold M(without hour'dary) into the unit sphere S2 of R3 is shown; Sornc links between p --harmonicmaps and its solution are also established.