Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities-Reference-Cited by-同舟云学术

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

Published:2020-12-19 Issue:1 Volume:27 Page:97-105
ISSN:1869-6082
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Shahrouzi Mohammad¹^ORCID,Kargarfard Firoozeh¹

Affiliation:

1. Department of Mathematics , Jahrom University , Jahrom , P.O.Box: 74137-66171 , Iran

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2020-2036/pdf

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