Boundary behaviour of the unique solution to a singular Dirichlet problem with a convection term

Abstract

By Karamata regular variation theory and constructing comparison functions, we derive that the boundary behaviour of the unique solution to a singular Dirichlet problemwhere Ω is a bounded domain with smooth boundary in R N , λ ∈ R, q ∈ (0, 2], lim s→0 + g(s) = +∞, and b is nonnegative on Ω, which may be vanishing on the boundary.