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.
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页码：3239 / 3267
页数：29
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