R^N上一类奇异双调和方程无穷多解的存在性  

Existence of Infinitely Many Solutions for Singular Biharmonic Equation on R^N

作　　者：杜刚[1] 

机构地区：[1]喀什师范学院数学系

出　　处：《数学的实践与认识》2013年第15期245-249,共5页Mathematics in Practice and Theory

摘　　要：研究了R^N上一类具有奇异系数的双调和方程,在不假设非线性项满足Ambrosetti-Rabinowitz条件下,利用变分原理和带Cerami条件的对偶喷泉定理,得到此类方程无穷多解的存在性.In this paper, we deal with the existence of infinitely many Solutions for sin- gular biharmonic Equation on Rg.When the nonlinearity f doesnot satisfies Ambrosetti- Rabinawitz conditions, the existence of infinitely many solutions is proved by using the variational principle and the dual fountain theorem with Cerami＇s condition .

关 键 词：双调和方程 奇异系数 CERAMI条件 对偶喷泉定理 

分 类 号：O175.2[理学—数学]