Existence and boundedness of solutions for evolution variational inequalities with p(x; t)-growth

Xiang Mingqi Fu Yongqiang Zhang Binlin · 2015

阅读量：80

演化的变分不等式

罚函数法

变指数空间

期刊名称：

Electronic Journal of Differential Equations 2015 年 2015 卷

发表日期：

2015

摘要：

In this article, we study a class of evolution variational inequalities with p(x; t)-growth conditions on bounded domains. By means of the penalty method and Galerkin's approximation, we obtain the existence of weak solutions. Moreover, the boundedness of weak solutions is also investigated by applying Moser's iterative method.