Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
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Abstract:
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 modified energy functional method.
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Journal title
volume 11 issue 1
pages 37- 45
publication date 2020-01-23
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