摘要

In this paper, we study the boundary behavior of solutions to boundary blow-up elliptic problems Delta u +/- vertical bar del u vertical bar(q) = b(x)f(u), x is an element of Omega, u vertical bar(partial derivative Omega) = +infinity, where Omega is a bounded domain with smooth boundary in R-N, q > 0, b is an element of C-alpha((Omega) over bar), which is positive in Omega and may be vanishing on the boundary and rapidly varying near the boundary, and f is rapidly varying or normalized regularly varying at infinity.