Blow-up for an evolution p-laplace system with nonlocal sources and inner absorptions
1 School of Mathematics and Computer Engineering, Xihua University, Chengdu, Sichuan 610039, PR China
2 College of Mathematics and Statistics, Chongqing University, Chongqing 410031, PR China
Boundary Value Problems 2011, 2011:29 doi:10.1186/1687-2770-2011-29Published: 6 October 2011
This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions
with homogeneous Dirichlet boundary conditions in a smooth bounded domain Ω ∈ RN(N ≥ 1), where p, q > 2, m, n, r, s ≥ 1, α, β > 0. Under appropriate hypotheses, the authors discuss the global existence and blow-up of positive weak solutions by using a comparison principle.
2010 Mathematics Subject Classification: 35B35; 35K60; 35K65; 35K57.