Stanislav Antontsev, Jorge Ferreira, Erhan Piskin, Hazal Yuksekkaya, Mohammad Shahrouzi
Abstract:
In this article, we consider a nonlinear p(x)-Laplacian equation
with time delay and variable exponents. Firstly, we prove the blow up of
solutions. Then, by applying an integral inequality due to Komornik, we
obtain the decay result.
Submitted June 7, 2021. Published October 8, 2021.
Math Subject Classifications: 35B40, 35B44, 35L05.
Key Words: Blow up; decay; variable exponents; delay term.
DOI: https://doi.org/10.58997/ejde.2021.84
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Stanislav Antontsev Lavrentyev Institute of Hydrodynamics Novosibirsk, Russia email: antontsevsn@mail.ru |
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Jorge Ferreira Department of Exact Sciences Federal Fluminense University Rio de Janeiro, Brazil email: ferreirajorge2012@gmail.com |
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Erhan Pişkin Department of Mathematics Dicle University Diyarbakir, Turkey email: episkin@dicle.edu.tr |
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Hazal Yüksekkaya Department of Mathematics Dicle University Diyarbakir, Turkey email: hazally.kaya@gmail.com |
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Mohammad Shahrouzi Department of Mathematics Jahrom University, P.O. Box 74137-66171 Jahrom, Iran email: mshahrouzi@jahromu.ac.ir |
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