Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
نویسندگان
1 Dicle University, Department of Mathematics, 21280 Diyarbakır, Turkey
doi
10.22075/ijnaa.2019.16022.1841چکیده
In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities$$u_{tt}-M(‖∇u‖²)△u+|u_{t}|^{p(x)-2}u_{t}=|u|^{q(x)-2}u.$$We proved the blow-up of solutions in finite time by using the modified energy functional method.