Title of article :
BLOW-UP and GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS
Author/Authors :
Mahougnon Dohemeto, Fortuné Department of Mathematics - Institut de Mathématiques et de Sciences Physiques (IMSP) - Université d'Abomey Calavi (UAC) - Bénin, Dangbo , Aymard Degla, Guy Department of Mathematics - Institut de Mathématiques et de Sciences Physiques (IMSP) - Université d'Abomey Calavi (UAC) - Bénin, Dangbo , Sègbégnon Dansou, Cyrille Department of Mathematics - Institut de Mathématiques et de Sciences Physiques (IMSP) - Université d'Abomey Calavi (UAC) - Bénin, Dangbo
Abstract :
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.
Keywords :
Blow-up , Global existence , Higher-Order Kirchhoff-Type Equation , Variable exponents , Positive initial energy
Journal title :
Journal of Mahani Mathematical Research Center
