morse index 1mountain pass 1neumann boundary conditions 1normalized solutions 1schrödinger systems 1variational methods 1
From the 1 of 3 linked papers with an AI index.
3 papers
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
The paper proves the existence of nontrivial normalized solutions for a coupled gradient-type Schrödinger system with Neumann boundary conditions in a bounded three‑dimensional dom…
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} &-Îu-\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}…
math.AP2025
Solutions with prescribed mass for -supercritical NLS equations under Neumann boundary conditions
Xiaojun Chang, VicenÅ£iu D. RÄdulescu, Yuxuan Zhang
In this paper, we investigate the following nonlinear Schrödinger equation with Neumann boundary conditions: \begin{equation*} \begin{cases} -Îu+ λu= f(u) & {\rm in} \,~ Ω,\\ \…