Standing waves with prescribed mass for NLS equations with Hardy potential in the half-space under Neumman boundary condition

Yuxuan Zhang, Xiaojun Chang, Lin Chen

Consider the Neumann problem: \begin{eqnarray*} \begin{cases} &-Δu-\fracμ{|x|^2}u +λu =|u|^{q-2}u+|u|^{p-2}u ~~~\mbox{in}~~\mathbb{R}_+^N,~N\ge3, &\frac{\partial u}{\partial ν}=0 ~…