Initial boundary value problem for a class of p-Laplacian equations with logarithmic nonlinearity
In this paper, we discuss global existence, boundness, blow-up and extinction properties of solutions for the Dirichlet boundary value problem of the $ p $-Laplacian equations with logarithmic nonlinearity $ u_{t}-{\rm{div}}(|\nabla u|^{p-2}\nabla u)+\beta|u|^{q-2}u = \lambda |u|^{r-2}u\ln{|u|} $, w...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2021-05-01
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Series: | Mathematical Biosciences and Engineering |
Subjects: | |
Online Access: | http://www.aimspress.com/article/doi/10.3934/mbe.2021198?viewType=HTML |