Asymptotic behavior near the boundary of a large solution to semilinear Poisson equation with double-power nonlinearity
摘要
We deal with a large solution to the semilinear Poisson equation with double-power nonlinearity Δu = up + αuq in a bounded smooth domain D ⊂ ℝn, where p > 1, −1 < q < p and α ∈ ℝ. We obtain the asymptotic behavior of a solution u near the boundary ∂D up to the third or higher term.