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

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.