二阶谐波方程组约束态解的存在性  

Existence of the solution to the constraint state in second harmonic equations

作　　者：刘金桃 LIU Jin-tao(School of Mathematical Science, Shanxi University, Taiyuan 030006,Chin)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《云南民族大学学报（自然科学版）》2018年第3期216-221,共6页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11571209)

摘　　要：研究了一个全新的二阶谐波方程组约束态解的存在性.通过限制泛函极小值的次可加性,证明了任意极小化序列通过平移是列紧的,结合变分方法得到了全局极小值的存在性.In this paper, the existence of the solution to the constraint state of brand-new second harmonic equations is studied. By constraining the subadditivity of the functional minimum, it is proved that the existence of the precompactness of the minimizing sequences through translation as well as the existence of the whole minimum value through variational methods.

关 键 词：二阶谐波方程组 极小化序列 约束态解 对称重排 

分 类 号：O177.91[理学—数学]