TY - JOUR T1 - A Nonlinear Diffusion System with Coupled Nonlinear Boundary Flux JO - Journal of Partial Differential Equations VL - 1 SP - 11 EP - 31 PY - 2009 DA - 2009/02 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5244.html KW - Critical exponents KW - nonlinear diffusion KW - inner absorptions KW - nonlinear boundary flux KW - blow-up KW - global solutions KW - characteristic algebraic system AB -

This paper studies a nonlinear diffusion system with coupled nonlinear boundary flux and two kinds of inner sources (positive for the first and negative for the second), where the four nonlinear mechanisms are described by eight nonlinear parameters. The critical exponent of the system is determined by a complete classification of the eight nonlinear parameters, which is represented via the characteristic algebraic system introduced to the problem.