Strong Solutions for Two-Sided Parabolic Variational Inequalities Related to an Elliptic Part of -Laplacian Type
Loretta Mastroeni
Università degli Studi di Roma Tre, ItalyMichele Matzeu
Università di Roma Tor Vergata, Italy
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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.
Cite this article
Loretta Mastroeni, Michele Matzeu, Strong Solutions for Two-Sided Parabolic Variational Inequalities Related to an Elliptic Part of -Laplacian Type. Z. Anal. Anwend. 31 (2012), no. 4, pp. 379–391
DOI 10.4171/ZAA/1465