Global Existence and Blowup of Solutions for Parabolic Systems Involving CrossDiffusions and Nonlinear Boundary Conditions

In this paper, we investigate the positive solutions of strongly coupled nonlinear parabolic systems with nonlinear boundary conditions: {uta(u,v)u=g(u,v),u=d(u,v),vtb(u,v)v=h(u,v),u=f(u,v). Un der appropriate hypotheses on the functions a, b, g, h, d and f, we obtain that the solutions may exist globally or blow up in finite time by utilizing upper and lower solution techniques.