A fractional critical problem in the halfspace with Neumann conditions

Azahara DelaTorre Pedraza, Serena Dipierro, Angela Pistoia +1

Given $s\in (0,1)$ and $n>2s$, we construct nontrivial solutions of the problem \begin{equation*} \begin{cases} (-Δ)^s u=u^{2^*_s-1} &{\mbox{ in }}\mathbb{R}^n_+,\\ {\mathcal{N}}_s…