Estimates for Emden–Fowler type inequalities with absorption term

We obtain improved estimates of the Keller–Osserman type for second-order elliptic semilinear inequalities in the non-divergent form sign(u)(aij(x)uxixj+bi(x)uxi)⩾c(x)−2|x|σ|u|. Special cases of rapidly growing or decaying weights c(x) and planar domains are also treated.