Sharp boundary concentration for a two-dimensional nonlinear Neumann problem

Francesca De Marchis, Habib Fourti, Isabella Ianni

We consider the elliptic equation $-\Delta u+u=0$ in a bounded, smooth domain $\Omega \subset {\mathbb{R}}^2$ subject to the nonlinear Neumann boundary condition $\partial u/\partialν= |u|^{p-1…