TY - JOUR A2 - El-Morshedy, Hassan A. AU - Chung, Soon-Yeong PY - 2014 DA - 2014/12/14 TI - Critical Blow-Up and Global Existence for Discrete Nonlinear p-Laplacian Parabolic Equations SP - 716327 VL - 2014 AB - The goal of this paper is to investigate the blow-up and the global existence of the solutions to the discrete p-Laplacian parabolic equation utx,t=Δp,wux,t+λux,tp-2ux,t, x,tS×0,, ux,t=0, x,tS×0,, ux,0=u0, depending on the parameters p>1 and λ>0. Besides, we provide several types of the comparison principles to this equation, which play a key role in the proof of the main theorems. In addition, we finally give some numerical examples which exploit the main results. SN - 1026-0226 UR - https://doi.org/10.1155/2014/716327 DO - 10.1155/2014/716327 JF - Discrete Dynamics in Nature and Society PB - Hindawi Publishing Corporation KW - ER -