Existence and upper semicontinuity of global attractors for p(x)-Laplacian systems

被引：15

作者：

Simsen, Jacson ^{[1
]}

Simsen, Mariza Stefanello ^{[1
]}

机构：

[1] Univ Fed Itajuba, Inst Ciencias Exatas, Dept Matemat & Comp, BR-37500903 Itajuba, MG, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 388卷 / 01期

关键词：

Variable exponent; Coupled p(x)-Laplacian systems; Attractors; Upper semicontinuity; THEOREMS;

D O I：

10.1016/j.jmaa.2011.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work concerns the study of asymptotic behavior of coupled systems of p(x)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor for each pair of positive diffusion coefficients. We also prove that the attractors are upper semicontinuous on positive finite diffusion parameters. In particular, to get the results we prove that the p(x)-Laplacian operator is subdifferential of a convex, proper and lower semicontinuous non-negative map. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：23 / 38

页数：16

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