Second order expansion for blowup solutions of semilinear elliptic problems (Q412735)

The authors obtain second order expansions near the boundary for solutions of equations \(\Delta u =b(x)f(u)\), \( u > 0\) in \(\Omega\), \(\lim u(x) = \infty\) as dist\((x,\partial \Omega)\) tends to zero. The paper contains four theorems giving the expansion near the boundary of the unique solution for the equation above, under different behaviors of \(b\) and \(f\).