Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions

In this paper, the existence of positive boundary blow-up weak solution for the quasilinear elliptic equation div(∣∇u∣p−2∇u) = m(x)f(u) in a smooth bounded domain Ω ⊆ RN or global space Ω = RN are obtained under new conditions. Our proof is based on the method of sub and supersolutions.