BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS
This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive initial energy by using a concavity-type method. Thi...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2022-11-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_3344_ef721be004e09ac1631aaee6d04da2c1.pdf |
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| author | Fortuné Dohemeto Guy Degla Cyrille Dansou |
| author_facet | Fortuné Dohemeto Guy Degla Cyrille Dansou |
| author_sort | Fortuné Dohemeto |
| collection | DOAJ |
| description | This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive initial energy by using a concavity-type method. This work improves and generalizes several interesting recent blow-up results on wave equations in particular on Kichhoff-type equations. We also show the global existence of solutions under appropriate conditions. |
| format | Article |
| id | doaj-art-eb200c6fcf024637ad78a2c201236a7e |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-eb200c6fcf024637ad78a2c201236a7e2025-01-07T10:26:23ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052022-11-0111310913110.22103/jmmr.2022.19440.12503344BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTSFortuné Dohemeto0Guy Degla1Cyrille Dansou2Department of Mathematics, Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey Calavi (UAC), Bénin, DangboDepartment of Mathematics, Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey Calavi (UAC), Bénin, DangboDepartment of Mathematics, Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey Calavi (UAC), Bénin, DangboThis paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive initial energy by using a concavity-type method. This work improves and generalizes several interesting recent blow-up results on wave equations in particular on Kichhoff-type equations. We also show the global existence of solutions under appropriate conditions.https://jmmrc.uk.ac.ir/article_3344_ef721be004e09ac1631aaee6d04da2c1.pdfblow-upglobal existencehigher-order kirchhoff-type equationvariable exponentspositive initial energy |
| spellingShingle | Fortuné Dohemeto Guy Degla Cyrille Dansou BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS Journal of Mahani Mathematical Research blow-up global existence higher-order kirchhoff-type equation variable exponents positive initial energy |
| title | BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS |
| title_full | BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS |
| title_fullStr | BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS |
| title_full_unstemmed | BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS |
| title_short | BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS |
| title_sort | blow up and global existence of solutions for higher order kirchhoff type equations with variable exponents |
| topic | blow-up global existence higher-order kirchhoff-type equation variable exponents positive initial energy |
| url | https://jmmrc.uk.ac.ir/article_3344_ef721be004e09ac1631aaee6d04da2c1.pdf |
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