@Article{JPDE-17-369,
author = {Peihu Shi },
title = {Self-similar Singular Solution of a P-Laplacian Evolution Equation with Gradient Absorption Term},
journal = {Journal of Partial Differential Equations},
year = {2004},
volume = {17},
number = {4},
pages = {369--383},
abstract = {<p>In this paper we deal with the self-similar singular solution of the p-Laplacian evolution equation u_t = div(|∇|^{p-2}∇u) - |∇u|^q for p &gt; 2 and q &gt; 1 in R^n × (0, ∞). We prove that when p &gt; q + n/(n + 1) there exist self-similar singular solutions, while p ≤ q+n/(n+1) there is no any self-similar singular solution. In case of existence, the self-similar singular solutions are the self-similar very singular solutions, which have compact support. Moreover, the interface relation is obtained.</p>},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5399.html}
}