Convergence for a planar elliptic problem with large exponent Neumann data

Habib Fourti

We study positive solutions $u_p$ of the nonlinear Neumann elliptic problem $\Delta u=u$ in $\Omega$, $\partial u/\partial \nu =|u{|}^{p-1}u$ on $\partial \Omega$, where $\Omega$ is a bounded open smooth do…