Open AccessInitial boundary value problem for fractional $ p $-Laplacian Kirchhoff type equations with logarithmic nonlinearity
Author(s) -
Peng Shi,
Min Jiang,
Fugeng Zeng,
Yao Huang
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021144
Subject(s) - mathematics , logarithm , nonlinear system , sobolev space , mathematical analysis , type (biology) , boundary value problem , laplace operator , p laplacian , property (philosophy) , lambda , class (philosophy) , physics , ecology , philosophy , epistemology , quantum mechanics , artificial intelligence , computer science , optics , biology
In this paper, we study the initial boundary value problem for a class of fractional p-Laplacian Kirchhoff type diffusion equations with logarithmic nonlinearity. Under suitable assumptions, we obtain the extinction property and accurate decay estimates of solutions by virtue of the logarithmic Sobolev inequality. Moreover, we discuss the blow-up property and global boundedness of solutions.