2 papers
math.AP2025
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 ~…
math.AP2025
Solutions with prescribed mass for -supercritical NLS equations under Neumann boundary conditions
Xiaojun Chang, Vicenţiu D. Rădulescu, Yuxuan Zhang
In this paper, we investigate the following nonlinear Schrödinger equation with Neumann boundary conditions: \begin{equation*} \begin{cases} -Δu+ λu= f(u) & {\rm in} \,~ Ω,\\ \disp…