Electronic Journal of Differential Equations | |
Existence of global solutions and blow-up for p-Laplacian parabolic equations with logarithmic nonlinearity on metric graphs | |
article | |
Ru Wang1  Xiaojun Chang2  | |
[1] School of Mathematics and Statistics Northeast Normal University Changchun 130024;School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences Northeast Normal University Changchun 130024 | |
关键词: Metric graphs; p-Laplace operator; logarithmic nonlinearity; global solution; blow-up.; | |
DOI : 10.58997/ejde.2022.51 | |
学科分类:数学(综合) | |
来源: Texas State University | |
【 摘 要 】
In this article, we study the initial-boundary value problem for a p-Laplacian parabolic equation with logarithmic nonlinearity on compact metric graphs. Firstly, we apply the Galerkin approximation technique to obtain the existence of a unique local solution. Secondly, by using the potential well theory with the Nehari manifold, we establish the existence of global solutions that decay to zero at infinity for all p>1, and solutions that blow up at finite time when p>2 and at infinity when 1
【 授权许可】
CC BY
【 预 览 】
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RO202307120000425ZK.pdf | 389KB | download |