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math.AP2026
Normalized solutions for a class of gradient-type Schrödinger systems under Neumann boundary conditions in bounded domains
Xiaojun Chang, Yuxin Li, Yohei Sato +1
We investigate the existence of normalized solutions to the gradient-type Schrödinger system \begin{equation*} \begin{cases} -Δu+ V_1(x)u+λu= uv^2 & \text{ in } Ω,\\ -Δv+ V_2(x)v+λ…
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…