Existence of nonnegative solutions for fractional Schrödinger equations with Neumann condition

Hamilton Bueno, Aldo H. S. Medeiros

In this paper we study a Neumann problem for the fractional Laplacian, namely \begin{equation}\left\{ \begin{array}{rcll} \varepsilon^{2s}(- Δ)^{s}u + u &=& f(u) \ \ &\mbox{in} \ \…