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Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities

Shahrouzi Mohammad, Kargarfard Firoozeh

Journal of Applied Analysis

2021

Vol. 27, nr 1

97--105

This paper deals with a Kirchhoff type equation with variable exponent nonlinearities, subject to a nonlinear boundary condition.Under appropriate conditions and regarding arbitrary positive initial energy, it is proved that solutions blow up in a finite time.Moreover, we obtain the upper bound estimate of the blowup time.