General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents

A nonlinear Kirchhoff-type equation with logarithmic nonlinearity and variable exponents is studied. Firstly, the global existence is shown. Next, by using an integral inequality due to Komornik the general decay result is obtained. Finally, the blow-up of the solutions is proved.

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Bibliographic Details
Main Authors: Mohammad Alnegga, Abdelbaki Choucha, Djamel Ouchenane, Salah Boulaaras
Format: Article
Language:English
Published: Miskolc University Press 2024-01-01
Series:Miskolc Mathematical Notes
Online Access:http://mat76.mat.uni-miskolc.hu/mnotes/article/4432
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