R^n上带权函数的超线性p-Laplace方程的无穷多解  

Infinitely many solutions for superlinear p-Laplace equation 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：《河北大学学报（自然科学版）》2012年第1期7-11,共5页Journal of Hebei 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资助项目(102102210216);河南省教育厅自然科学基金资助项目(2010A110012)

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,其中非线性项是奇的.在比单调性较弱的条件下,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 equation with weights on unbounded domain Rn is considered,where the nonlinearity is odd.In the condition weaker than the monotonicity condition,the existence of infinitely many solutions is obtained through the fountain theorem with Cerami condition.Some known results are generalized.

关 键 词：超线性 CERAMI条件 喷泉定理 

分 类 号：O175.25[理学—数学]