Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents

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. For more information see https://ejde.math.txstate.edu/Volumes/20...

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Published inElectronic journal of differential equations Vol. 2021; no. 1-104; p. 84
Main Authors Antontsev, Stanislav, Ferreira, Jorge, Piskin, Erhan, Yuksekkaya, Hazal, Shahrouzi, Mohammad
Format Journal Article
LanguageEnglish
Published 08.10.2021
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ISSN1072-6691
1072-6691
DOI10.58997/ejde.2021.84

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Summary: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. For more information see https://ejde.math.txstate.edu/Volumes/2021/84/abstr.html
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.2021.84