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论文类型：期刊论文

发表时间：2012-12-01

发表刊物：MATHEMATICAL AND COMPUTER MODELLING

收录刊物：Scopus、SCIE、EI

卷号：56

期号：11-12

页面范围：247-256

ISSN号：0895-7177

关键字：Evolution p-Laplacian equation; Weighted source; Global existence; Blow-up; Second critical exponent; Life span

摘要：This paper studies the Cauchy problem for the evolution p-Laplacian equation with weighted source: u(t) = div(|del u|(p-2)del u)+|x|(m)u(q) in R-n x (0, T), where 2n/(n + 1) < p < 2, m > n(2 - p) - p, q > 1. We obtain the second critical exponent on decay orders of initial data at infinity to identify global and non-global solutions in the coexistence region of the two kinds of solutions. In addition, we determine the life span of the non-global solutions in the case of m = 0. (C) 2011 Elsevier Ltd. All rights reserved.