GLOBAL ATTRACTORS FOR p-LAPLACIAN DIFFERENTIAL INCLUSIONS IN UNBOUNDED DOMAINS

被引：3

作者：

Simsen, Jacson ^{[1
,2
]}

Valero, Jose ^{[3
]}

机构：

[1] Univ Fed Itajuba, Inst Matemat & Comp, Av BPS 1303, BR-37500903 Itajuba, MG, Brazil

[2] Univ Duisburg Essen, Fak Math, Thea Leymann Str 9, D-45127 Duisburg, Germany

[3] Univ Miguel Hernandez De Elche, Ctr Invest Operat, Avda Univ S-N, Elche 03202, Alicante, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 09期

关键词：

REACTION-DIFFUSION EQUATIONS; PARABOLIC EQUATIONS; MULTIVALUED SEMIFLOWS; ASYMPTOTIC-BEHAVIOR; COMPACT ATTRACTORS; FREE-BOUNDARY; EXISTENCE; SYSTEMS; OPERATOR; REGULARITY;

D O I：

10.3934/dcdsb.2016096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we consider a differential inclusion governed by a p-Laplacian operator with a diffusion coefficient depending on a parameter in which the space variable belongs to an unbounded domain. We prove the existence of a global attractor and show that the family of attractors behaves upper semicontinuously with respect to the diffusion parameter. Both autonomous and nonautonomous cases are studied.

引用

页码：3239 / 3267

页数：29

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