Existence of solutions of the parabolic variational inequality with variable exponent of nonlinearity

被引：28

作者：

Mashiyev, R. A. ^{[1
]}

Buhrii, O. M. ^{[2
]}

机构：

[1] Dicle Univ, Fac Sci, Dept Math, TR-21280 Diyarbakir, Turkey

[2] Ivan Franko Natl Univ Lviv, Fac Mech & Math, Dept Differential Equat, UA-79000 Lvov, Ukraine

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 377卷 / 02期

关键词：

Variable exponent Lebesgue and Sobolev spaces; Nonlinear parabolic variational inequality; EIGENVALUE PROBLEM; SPACES; UNIQUENESS;

D O I：

10.1016/j.jmaa.2010.11.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, new properties of variable exponent Lebesgue and Sobolev spaces are examined. Using these properties we prove the existence of the solution of some parabolic variational inequality. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：450 / 463

页数：14

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