一类带有p(x)-Laplacian算子的障碍问题多解的存在性  

Multiple Solutions for an Obstacle Problem Involving the p(x)-Laplacian

作　　者：常高 桑彦彬[2] CHANG Gao;SANG Yan-bin(Shanxi Institute of Science and Technology,Jincheng 048000,China;School of Science,North Universty of China,Taiyuan 030051,China)

机构地区：[1]山西科技学院,山西晋城048000 [2]中北大学理学院,山西太原030051

出　　处：《数学的实践与认识》2021年第18期202-210,共9页Mathematics in Practice and Theory

基　　金：山西省自然科学基金(2016011003)。

摘　　要：考虑了一类带有p(x)-Laplacian算子的Neumann型变分半变分不等式障碍问题,通过对位势函数作一些合理假设后,运用非光滑三个点临界点理论2,得到了此问题三个解的存在性.In this paper,we consider a class of obstacle problem for Neumann-type variationalhemivariational inequalities involving the p(x)-Laplacian,under a suitable hypothesis on potential functions,by using nonsmooth version of three-critical-points theorem 2,the existence of three solutions for the problem is obtained.

关 键 词：变分半变分不等式 广义次微分 局部LIPSCHITZ函数 (PS)-条件 

分 类 号：O177[理学—数学]