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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4432 |
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| _version_ | 1832592257900871680 |
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| 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 |
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