Asymptotic behaviour of the Kazdan–Warner solution in the annulus

In this paper, we study the asymptotic behaviour as p→∞p→∞ of the radial solution of the problem -Δu=upin Ω,u>0in Ω,u=0on ∂Ω,where ΩΩ is an annulus of RNRN, N⩾2N⩾2.