Boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms

摘要

In this paper, we study the boundary behavior of solutions to boundary blow-up elliptic problems △u±|?u|q=b(x)f(u),x∈Ω, u|?Ω=+∞, where Ω is a bounded domain with smooth boundary in RN, q>0, b∈Cα(Ω), which is positive in Ω and may be vanishing on the boundary and rapidly varying near the boundary, and f is rapidly varying or normalized regularly varying at infinity.