类p-Laplace方程的无穷多解的存在性  

INFINITELY MANY SOLUTIONS FOR p-LAPLACIAN-LIKE EQUATIONS

作　　者：邢小青[1] 耿堤[1] 

机构地区：[1]华南师范大学数学系,广东广州510631

出　　处：《数学杂志》2007年第2期208-214,共7页Journal of Mathematics

基　　金：国家自然科学基金资助项目(No.10371045);广东省自然科学基金资助项目(No.000671).

摘　　要：本文研究了类p-Laplace方程,利用证明其对应的变分泛函满足Cerami条件,得到了无穷多个大能量解的存在性,推广并改进了已有结果.Consider the p-Laplacian-like equation. By proving that the functional satisfies the Cerami condition, infinitely many large energy solutions are obtained,which extend and improve the known results.

关 键 词：类p-Laplace方程 CERAMI条件 无穷多解 

分 类 号：O175.25[理学—数学]