带非线性边值条件的奇异P-Laplacian方程组多解的存在性  

Multiple Positive Solutions for a Class of P-Laplacian Systems Involving Nonlinear Boundary Condition

作　　者：杜刚 DU Gang(College of Mathematics and Statistics,Kashgar University,Kashgar 844008,Xinjiang)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844008

出　　处：《四川师范大学学报（自然科学版）》2018年第6期764-767,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：新疆高校科研项目(XJEDU2016I039)

摘　　要：研究一类带非线性边值条件的奇异P-Laplacian方程组,利用Nehari流形和极值原理证明该方程组在参数满足一定条件下至少有2组正解的存在性.In this paper,I study a class of PLaplacian systems involving nonlinear boundary condition.By using Nehari manifold and concentration compactness principle,I obtain their multiple positive solutions.

关 键 词：NEHARI流形 非线性边值条件 多个正解 

分 类 号：O175.4[理学—数学]