Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (1): 33-40.

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High Dimensional Ferromagnetic Spin Chain System and p-Harmonic Maps

Zhou Chunqin   

  1. Diparment of Mathematics, Shanghai Jiaotong University, Shanghai 200030
  • Received:1996-04-03 Revised:1996-12-20 Online:1998-03-26 Published:1998-03-26

Abstract: 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 houndary) into the unit sphere S2 of R3 is shown; Sornc links between p-harmonic maps and its solution are also established.

Key words: Global weak solution, p-harmonic maps, Landau-Lifshitz equation

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