Study On Properties Of Boundary Blow-up Solutions For Quasilinear Elliptic Equations(Systems)

On one hand , by Karamata regular varying theory combined with the method of lower and supper solution, we establish the existence and boundary behavior of bounary blow up solutions of the elliptic equationsΔu±a(x)|(?)u|^q = b(x)f(u), x∈Ω, x |_?Ω=∞. On the other hand,the existence, uniqueness and boundary behavior of positive boundary blow up solutions for elliptic systems of competitive typeΔu =a(x)u^pv^q, x∈Ω;Δv = b(x)u^rv^s,x∈Ω;u = v=∞,x∈(?)Ω, are obtained under more extensive conditions,...