@article{Wu2024, 
author = {Xiulan Wu and Yaxin Zhao and Xiaoxin Yang},
title = {On a singular parabolic  p-Laplacian equation with logarithmic nonlinearity},
year = {2024},
journal = {Communications in Analysis and Mechanics},
volume = {16},
number = {3},
pages = {528-553},
keywords = {Non-Newton filtration equation, singular potential, logarithmic nonlinearity, global existence, decay, blow-up},
url = {https://www.sciopen.com/article/10.3934/cam.2024025},
doi = {10.3934/cam.2024025},
abstract = {In this paper, we considered a singular parabolic  p-Laplacian equation with logarithmic nonlinearity in a bounded domain with homogeneous Dirichlet boundary conditions. We established the local solvability by the technique of cut-off combining with the method of Faedo-Galerkin approximation. Based on the potential well method and Hardy-Sobolev inequality, the global existence of solutions was derived. In addition, we obtained the results of the decay. The blow-up phenomenon of solutions with different indicator ranges was also given. Moreover, we discussed the blow-up of solutions with arbitrary initial energy and the conditions of extinction.}
}