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

  • Mohammad Shahrouzi ORCID logo EMAIL logo and Firoozeh Kargarfard
Published/Copyright: December 19, 2020

Abstract

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 blow-up time.

MSC 2010: 35B44; 35L72; 35N10

References

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Received: 2019-03-05
Revised: 2020-07-17
Accepted: 2020-07-28
Published Online: 2020-12-19
Published in Print: 2021-06-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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