Asymptotic behavior of coupled inclusions with variable exponents

Peter E. Kloeden; Jacson Simsen; Petra Wittbold

doi:10.3934/cpaa.2020046

Article Contents

2020, Volume 19, Issue 2: 1001-1016. Doi: 10.3934/cpaa.2020046

This issue Previous Article The Soap Bubble Theorem and a $ p $-Laplacian overdetermined problem Next Article Elliptic approximation of forward-backward parabolic equations

Asymptotic behavior of coupled inclusions with variable exponents

1.
Mathematisches Institut, Universität Tübingen, D-72076 Tübingen, Germany
2.
Instituto de Matemática e Computação, Universidade Federal de Itajubá, Av. BPS n. 1303, Bairro Pinheirinho, 37500-903, Itajubá - MG - Brazil
3.
Fakultät für Mathematik, Universität of Duisburg-Essen, Thea-Leymann-Str. 9, 45127 Essen, Germany

^* Corresponding author
^* Corresponding author

Received: March 2019

Revised: June 2019

Published: October 2019

This work was initiated when the second author was supported with CNPq scholarship - process 202645/2014-2 (Brazil). The first author was suported by Chinese NSF grant 11571125. The second author was partially supported by the Brazilian research agency FAPEMIG process PPM 00329-16.

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Abstract

This work concerns the study of asymptotic behavior of the solutions of a nonautonomous coupled inclusion system with variable exponents. We prove the existence of a pullback attractor and that the system of inclusions is asymptotically autonomous.

Keywords:

Mathematics Subject Classification: Primary: 35B40, 35B41, 35K57; Secondary: 35K55, 35K92.

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