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.

Saved in:
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
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832592257900871680
author Mohammad Alnegga
Abdelbaki Choucha
Djamel Ouchenane
Salah Boulaaras
author_facet Mohammad Alnegga
Abdelbaki Choucha
Djamel Ouchenane
Salah Boulaaras
author_sort Mohammad Alnegga
collection DOAJ
description 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.
format Article
id doaj-art-f5fb438777324db68bde1aa365fc446c
institution Kabale University
issn 1787-2405
1787-2413
language English
publishDate 2024-01-01
publisher Miskolc University Press
record_format Article
series Miskolc Mathematical Notes
spelling doaj-art-f5fb438777324db68bde1aa365fc446c2025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125253710.18514/MMN.2024.4432General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponentsMohammad AlneggaAbdelbaki ChouchaDjamel OuchenaneSalah BoulaarasA 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.http://mat76.mat.uni-miskolc.hu/mnotes/article/4432
spellingShingle Mohammad Alnegga
Abdelbaki Choucha
Djamel Ouchenane
Salah Boulaaras
General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents
Miskolc Mathematical Notes
title General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents
title_full General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents
title_fullStr General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents
title_full_unstemmed General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents
title_short General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents
title_sort general decay and blow up of solutions for a kirchhoff type equation with variable exponents
url http://mat76.mat.uni-miskolc.hu/mnotes/article/4432
work_keys_str_mv AT mohammadalnegga generaldecayandblowupofsolutionsforakirchhofftypeequationwithvariableexponents
AT abdelbakichoucha generaldecayandblowupofsolutionsforakirchhofftypeequationwithvariableexponents
AT djamelouchenane generaldecayandblowupofsolutionsforakirchhofftypeequationwithvariableexponents
AT salahboulaaras generaldecayandblowupofsolutionsforakirchhofftypeequationwithvariableexponents