含非线性凸函数的椭圆方程的多解存在性(英文)  

Multiplicity of positive solutions for elliptic equations with convex nonlinearity

作　　者：戴清平[1] 徐本龙[1] 

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2010年第1期24-29,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Supported by the Science Foundation of Shanghai Municipal Education Commission(No 06DZ004);Innovational Program of Shanghai Normal University.

摘　　要：研究含非线性凸函数的椭圆方程的狄利克雷边值问题.应用直接和Nehari-type的变分方法,得到多解存在性结果.This work is concerned with semilinear elliptic equation subject to homogeneous Dirichlet boundary conditions. By using Direct and Nehari - type variational method, we get some multiplicity results of positive solutions.

关 键 词：半线性椭圆方程 多解 Nehari变分方法 

分 类 号：O175.25[理学—数学]