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

被引：1

作者：

Mastroeni, Loretta ^{[1
]}

Matzeu, Michele ^{[2
]}

机构：

[1] Univ Roma Tre, Dipartimento Econ, I-00145 Rome, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2012年 / 31卷 / 04期

关键词：

Variational inequalities; two obstacles; elliptic part of p-Laplacian type; elliptic regularization method; Lewy-Stampacchia's type estimates;

D O I：

10.4171/ZAA/1465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：379 / 391

页数：13