Strong Solutions for Two-Sided Parabolic Variational Inequalities Related to an Elliptic Part of $p$-Laplacian Type

Abstract

A class of parabolic variational inequalities with two obstacles related to an elliptic part of p-Laplacian type is considered. A result of existence and uniqueness of strong solutions is given. Moreover some estimates of Lewy-Stampacchia's type are obtained for these solutions, which can be used in order to get regularity results.