%0 Journal Article
%T Initial and boundary blow-up problem for $p$-Laplacian parabolic equation with general absorption
%A Mingxin Wang
%A Peter Yu Hin Pang
%A Yujuan Chen
%J Mathematics
%D 2014
%I arXiv
%X In this article, we investigate the initial and boundary blow-up problem for the $p$-Laplacian parabolic equation $u_t-\Delta_p u=-b(x,t)f(u)$ over a smooth bounded domain $\Omega$ of $\mathbb{R}^N$ with $N\ge2$, where $\Delta_pu={\rm div}(|\nabla u|^{p-2}\nabla u)$ with $p>1$, and $f(u)$ is a function of regular variation at infinity. We study the existence and uniqueness of positive solutions, and their asymptotic behaviors near the parabolic boundary.
%U http://arxiv.org/abs/1406.0989v1