R^N上带权函数的超线性p-Laplace方程的无穷多解  

Infinitely Many Solutions for a Class of Superlinear p-Laplace Equations with Weights on R^N

作　　者：陈自高[1] 

机构地区：[1]华北水利水电学院数学与信息科学学院,河南郑州450011

出　　处：《吉林师范大学学报（自然科学版）》2012年第1期45-49,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11101145);河南省科技厅自然科学基金(102102210216)

摘　　要：在无界区域RN上考虑了一类带权函数的超线性p-Laplace方程,这里的非线性项是奇的.在比广义单调性更弱的条件下,通过利用带Cerami条件的喷泉定理得到了该问题的无穷多解的存在性,推广了一些已知结果.A class of superlinear p-Laplace equations with weights on unbounded domain RN was considered,where the nonlinearity is o dd.In the condition weaker than the generalized monotonicity condition,the exist ence of infinitely many solutions was obtained through the Fountain theorem with Cerami condition.Some known results were generailized.

关 键 词：超线性 CERAMI条件 喷泉定理 

分 类 号：O175.25[理学—数学]