Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents
Date
2021-10-08
Authors
Antontsev, Stanislav
Ferreira, Jorge
Piskin, Erhan
Yuksekkaya, Hazal
Shahrouzi, Mohammad
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Blow up, Decay, Variable exponents, Delay term
Citation
Antontsev, S., Ferreira, J., Pişkin, E., Yüksekkaya, H., & Shahrouzi, M. (2021). Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents. <i>Electronic Journal of Differential Equations, 2021</i>(84), pp. 1-20.