@article{Yang2026, 
author = {Hui Yang},
title = {A blow-up criterion for a    p-Laplacian-type pseudo-parabolic equation involving singular potential and logarithmic source},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {5},
pages = {2868-2882},
keywords = {pseudo-parabolic equation, p-Laplacian, singular potential, logarithmic nonlinearity, arbitrarily high initial energy, blow-up, lifespan},
url = {https://www.sciopen.com/article/10.3934/era.2026130},
doi = {10.3934/era.2026130},
abstract = {The main goal of this paper was to develop new skills to investigate the blow-up properties of solutions to an initial-boundary value problem for a    p-Laplacian-type pseudo-parabolic equation with singular potential and logarithmic source. By establishing a crucial reverse Sobolev inequality, we derived that the solutions blow up in finite time under a new blow-up criterion and we estimated the lifespan of the weak solutions from both above and below. It is worthy to point out that our blow-up criterion implies that this problem admits finite time blow-up solutions at an arbitrarily high initial energy level. From methods to results, we partially extended some results obtained in recent literatures.}
}