Boundary blow-up elliptic problems of Bieberbach and Rademacher type with nonlinear gradient terms Original Research Article

By a perturbation method and constructing comparison functions, we show the exact asymptotic behaviour of solutions near the boundary to nonlinear elliptic problems View the MathML source△u±|∇u|q=b(x)eu,x∈Ω,u|∂Ω=+∞, where ΩΩ is a bounded domain with smooth boundary in RNRN, q≥0q≥0, bb is non-negative and non-trivial in ΩΩ, which may be vanishing on the boundary