A Nonlinear Diffusion System with Coupled Nonlinear Boundary Flux

摘要

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 classi-fication of the eight nonlinear parameters, which is represented via the characteristic algebraic system introduced to the problem.