半线性椭圆方程组的最小能量解  

The minimum energy solution of the semilinear elliptic equation set

作　　者：王旭琴 WANG Xu-qin(Department of Mathematics,Lyuliang University,Lyuliang 033001,Shanxi,China)

机构地区：[1]吕梁学院数学系

出　　处：《宝鸡文理学院学报（自然科学版）》2019年第4期18-23,35,共7页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：山西省青年基金项目(201901D211449)

摘　　要：目的研究半线性椭圆方程组的最小能量解。方法应用变分原理和山路引理。结果与结论得到了半线性椭圆方程组在一定条件下的最小能量标准与相关泛函MP(Mountain Pass)值之间的关系。Purposes-To investigate the minimum energy solution of the semilinear ellipstic equation set.Methods-Variational principle and mountain pass lemma are adopted for the accomplishment of the said purposes.Result and Conclusion-The relationship between the minimum energy solution of the semilinear ellipstic equation set and the mountain pass(MP)value of the corresponding functional are obtained under some assumptions.

关 键 词：半线性椭圆方程组 最小能量解 MP值 

分 类 号：O177.91[理学—数学]