The Lin-Ni's problem for mean convex domains

Olivier Druet, Frédéric Robert, Juncheng Wei

We prove some refined asymptotic estimates for postive blowing up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, ${\partial }_{\nu }u=0$ on $\partial \Omega$; $\Omega$ being a smooth bounded…