Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems

Isabella Ianni, Alberto Saldana

We consider the equation $-\Delta u=|x{|}^{\alpha }|u{|}^{p-1}u$ for any $\alpha \ge 0$, either in ${\mathbb{R}}^2$ or in the unit ball $B$ of ${\mathbb{R}}^2$ centered at the origin with Dirichlet or Neumann…