铁磁链平衡组非轴对称连续解的存在性

EXISTENCE OF NON-AXIALLY SYMMETRIC CONTINUOUS SOLUTION FOR THE EQUILIBRIUM SYSTEMS OF FERRO-MAGNETIC CHAIN

本文研究下面的三维铁磁链平衡组的常边值问题：我们证明了当λ＞λ１时，其中λ１是－△的零边值问题的最小特征值，上面问题存在一个非轴对称的连续解。

We study the following constant boundary value problem for the three- dimensionalequilibrium systems of ferro-magnetic chain'We prove that if λ>λ1, where A, is the first eigenvalue of-A subject to zero boundarycondition, then the above problem has a non- axially symmetric continuous solution.