Infinitely many solutions of p-Laplacian equations with limit subcritical growth  

作　　者：耿堤 

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangzhou 510631,P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第10期1373-1382,共10页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10371045);the Natural Science Foundation of Guangdong Province of China(No.5005930)

摘　　要：We discussed a class of p-Laplacian boundary problems on a bounded smooth domain, the nonlinearity is odd symmetric and limit subcritical growing at infinite. A sequence of critical values of the variational functional was constructed after the general- ized Palais-Smale condition was verified. We obtain that the problem possesses infinitely many solutions and corresponding energy levels of the functional pass to positive infinite. The result is a generalization of a similar problem in the case of subcritical.We discussed a class of p-Laplacian boundary problems on a bounded smooth domain, the nonlinearity is odd symmetric and limit subcritical growing at infinite. A sequence of critical values of the variational functional was constructed after the general- ized Palais-Smale condition was verified. We obtain that the problem possesses infinitely many solutions and corresponding energy levels of the functional pass to positive infinite. The result is a generalization of a similar problem in the case of subcritical.

关 键 词：p-Laplacian operators limit subcritical growth concentration-compactness principle Palais-Smale condition asymptotic minimax principle 

分 类 号：O175.25[理学—数学]