带类p(x)-拉普拉斯算子的问题在全空间上的多重解  

Infinitely Many Solutions Involving p(x)-Laplacian-like Operator

作　　者：唐映 储昌木 TANG Ying;CHU Changmu(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵阳550025

出　　处：《西南师范大学学报（自然科学版）》2022年第10期37-44,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11861021,11861021)。

摘　　要：研究了全空间中一类带类p(x)-拉普拉斯算子的问题.在非线性项不满足(AR)条件时,通过证明该类问题的泛函满足Cerami条件,利用对称山路引理和变分方法,获得了该类问题无穷多解的存在性.In this paper,a class of problems have been studied with p(x)-Laplacian-like operator in R.Under the condition that the Nonlinear term does not satisfy the(AR) condition,it has been proved that the functional of such problems satisfies Cerami condition,and the existence of infinitely many solutions via the symmetric mountain pass lemma and the variational method has been proved.

关 键 词：类p(x)-拉普拉斯算子 对称山路引理 CERAMI条件 

分 类 号：O176.3[理学—数学]