摘要
在非线性项f是关于u的奇函数,势函数是有界的周期函数且下界是正的,Sobolev嵌入缺乏了紧性和f不再满足(AR)条件下,运用临界点理论中的喷泉定理和集中紧性原则证明了R^N中具有周期势函数的一类超线性p-Laplacian方程存在无穷多非平凡解。
Under these assumptions that the nonlinearity is odd about u,potentials is bounded and periodic and the lower is positive,Sobolev implant is short of tightness and f is no longer satisfy （AR） condition,by using Fountain theorem and concentration-compactness principle,we study the existence of infinitely many solutions for a superlinear p-Laplacian equation in R^N with periodic potentials.
出处
《应用泛函分析学报》
CSCD
2012年第2期166-171,共6页
Acta Analysis Functionalis Applicata
关键词
集中紧性原理
(C)条件
喷泉定理
concentration-compactness principle
Cerami＇s condition
fountain theorem
