具非光滑位势的非线性非自治二阶系统解的存在性  

The Existence Result of Nonlinear Nonautonomous Second-order System with a Nonsmooth Potential

作　　者：唐胜忠[1] 沈自飞[1] 

机构地区：[1]浙江师范大学数理与信息工程学院

出　　处：《佳木斯大学学报（自然科学版）》2008年第5期674-676,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金(10471113);浙江省自然科学基金(Y606292)

摘　　要：考虑一般p-Laplacian和具有非光滑位势函数的非线性周期系统,通过对非光滑位势函数作合理的假设,利用非光滑临界点理论上的变分方法,证明了一个非平凡解的存在性定理.In this paper,the authors consider nonlinear periodic systems driven by the ordinary p-Laplacian which has a nonsmooth potential function.Through the considerable hypotheses on the nonsmooth potential,using variational methods based on the nonsmooth critical point theory,an existence theorem of nontrivial solution was proved.

关 键 词：强制的 P-LAPLACIAN方程 非光滑位势 

分 类 号：O175.25[理学—数学]