一维p—Laplacian方程边值问题多解的存在性  

The Existence of Multiple Solutions for the One-Dimensional p-Laplacian Boundary Value Problems

作　　者：贺铁山[1] 陈文革[2] 

机构地区：[1]仲恺农业技术学院计算科学系,广州510225 [2]华南理工大学数学科学学院,广州510640

出　　处：《应用泛函分析学报》2008年第4期346-351,共6页Acta Analysis Functionalis Applicata

基　　金：广州市科技计划项目(2006j1-C0341);仲恺农业技术学院科研项目(G3081724)

摘　　要：利用Clark定理,研究了一维p-Laplacian方程边值问题多解的存在性,得到了这类边值问题至少有n对非平凡解的充分条件.The existence of multiple solutions is investigated for the one-dimensional p-Laplacian boundary value problems. By using Clark＇s theorem, the sufficient conditions of the existence of at least n pairs nontrivial solutions are obtained for the boundary value problems.

关 键 词：P-LAPLACIAN方程 Clark定理 临界点 n对解 

分 类 号：O175.8[理学—数学]