Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (4): 1073-1084.

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Quasilinear Schrödinger Equations for the Heisenberg Ferromagnetic Spin Chain with the Supercritical Growth

Wang Jiyan*(),Cheng Yongkuan   

  1. Department of Mathematics, South China University of Technology, Guangzhou 510640
  • Received:2022-09-05 Revised:2023-02-06 Online:2023-08-26 Published:2023-07-03
  • Contact: Jiyan Wang E-mail:2585823895@qq.com
  • Supported by:
    GBABRF(2020A1515010338)

Abstract:

In this paper, we consider a model problem arising from a classical planar Heisenberg ferromagnetic spin chain. Based on the perturbative approach, the cut off technique and the change of variables, we prove that the existence of infinity many positive solutions with slow decaying $O \big (|x| ^{-\frac{2}{p-1}}\big )$ at infinity.

Key words: Schr?dinger equations, Perturbative approach, Change of variables

CLC Number: 

  • O175.2
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