Multi-peak solutions for the fractional Schrödinger equation with Dirichlet datum

Maria Medina, Jing Wu

Let $s\in (0,1)$, $\epsilon >0$ and let $\Omega$ be a bounded smooth domain. Given the problem $$\varepsilon^{2s}(-Δ)^{s} u + V(x)u = |u|^{p-1}u \quad \mbox{in }\; Ω,$$ with Dirichlet…