Blow-up of solutions of critical elliptic equations in three dimensions

Rupert L. Frank, Tobias König, Hynek Kovařík

We describe the asymptotic behavior of positive solutions $u_{\epsilon }$ of the equation $-\Delta u+au=3u^{5-\epsilon }$ in $\Omega \subset {\mathbb{R}}^3$ with a homogeneous Dirichlet boundary condition. T…