Global existence and finite time blow-up for a class of fractional p-Laplacian Kirchhoff type equations with logarithmic nonlinearity

Global existence and finite time blow-up for a class of fractional p-Laplacian Kirchhoff type equations with logarithmic nonlinearity

In this paper, we study the initial-boundary value problem for a class of fractional p-Laplacian Kirchhoff diffusion equation with logarithmic nonlinearity. For both subcritical and critical states, by means of the Galerkin approximations, the potential well theory and the Nehari manifold, we prove...

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Bibliographic Details
Main Authors: Fugeng Zeng, Peng Shi, Min Jiang
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
kirchhoff type
p-laplacian
fractional
global existence
blow-up
ground-state solution
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021155?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021155?viewType=HTML

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