Asymptotic behavior of least energy solutions for a biharmonic problem with nearly critical growth
Futoshi Takahashi · Asymptotic Analysis · 2008
We study the asymptotic behavior of least energy solutions to the equation Δ 2 u=c 0 K(x)u p ε with the Navier boundary condition as ε→+0, where Ω is a smooth bounded domain in R N (N≥5), c 0 =(N−4)(N−2)N(N+2) and p ε =(N+4)/(N−4)−ε, ε>0. Under some assumptions on the coefficient function K, we obtain fairly precise asymptotics of the L ∞ -norm of least energy solutions.