Title of article :
Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
Author/Authors :
Pişkin, Erhan Dicle University - Department of Mathematics
Abstract :
In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities
utt−M(∥∇u∥²)△u+|ut|p(x)−2ut=|u|q(x)−2u.
We proved the blow up of solutions in finite time by using modified energy functional method.
Keywords :
Blow up , Kirchhoff-type equation , Variable exponent
Journal title :
International Journal of Nonlinear Analysis and Applications
