BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS

Document Type : Research Paper

Authors

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


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Volume 11, Issue 3 - Serial Number 23
Special Issue dedicated to Prof. Mashaallah Mashinchi.
November 2022
Pages 109-131
  • Receive Date: 02 May 2022
  • Revise Date: 18 June 2022
  • Accept Date: 15 July 2022