超临界拟线性海森堡铁丝链薛定谔方程

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

该文考虑一类来自于海森堡铁丝链模型的拟线性薛定谔方程,通过摄动方法、截断技巧以及变量替换证明了超临界情形下该方程有一族单参数慢速衰减的正解.

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(|x|^(-2/p-1))at infinity.