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

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 b...

Full description

Bibliographic Details
Main Authors: Mingqi Xiang, Yongqiang Fu, Binlin Zhang
Format: Article
Language:English
Published: Texas State University 2015-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/172/abstr.html