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.
Mastroeni, L., Matzeu, M. (2012). Strong Solutions for Two-Sided Parabolic Variational Inequalities Related to an Elliptic Part of p-Laplacian Type. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 31(4), 379-391 [10.4171/ZAA/1465].
Strong Solutions for Two-Sided Parabolic Variational Inequalities Related to an Elliptic Part of p-Laplacian Type
MASTROENI, LORETTA CLARA LETIZIA;MATZEU, MICHELE
2012-01-01
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.File in questo prodotto:
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