Nehari流形在一个拟线性方程组中的应用  

The Nehari manifold and application to a qusilinear elliptic systems

作　　者：杨国英[1] 冯佳佳[1] 

机构地区：[1]河南理工大学数学系,河南焦作454000

出　　处：《纯粹数学与应用数学》2013年第1期66-74,105,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(11201124);河南省教育厅自然科学基金(12A110009)

摘　　要：主要研究带有非齐次边界条件的拟线性椭圆方程组的正解问题,在合适参数条件下,用变分方法和流形方法得到该椭圆方程组正解的存在性和多解性.结论推广了近期发表的结果.In this paper, A qusilinear elliptic systems with the homogeneous boundary condition were discussed The existence and multiple positive solutions under the proper region of parameters were obtained. The main method relies on the variational theory and Nehari manifold. Our results complement those derived in the recent works.

关 键 词：NEHARI流形 能量泛函 多重正解 

分 类 号：O175.5[理学—数学]