The second expansion of large solutions for semilinear elliptic equations

In this paper, we analyze the influence of the domain geometry in the second expansion of solutions to the boundary blow-up elliptic problem △u=b(x)f(u),u>0,x∈Ω,u|∂Ω=∞, where ΩΩ is a bounded domain with C4C4-smooth boundary in RNRN, b∈Cα(Ω̄) which is positive in ΩΩ and may be vanishing on the boundary, and ff is normalized   regularly varying at infinity with index pp (p>1p>1).