2 papers
math.AP2025
Normalized solutions for the nonlinear Schrödinger equation with potentials
Matteo Rizzi, Xueqin Peng
In this paper, we find normalized solutions to the following Schrödinger equation \begin{equation}\notag \begin{aligned} &-Îu-\fracμ{|x|^2}h(x)u+λu =f(u)\quad\text{in}\quad\mat…
math.AP2024
Normalized solutions of mass supercritical Schrodinger-Poisson equation with potential
Xueqin Peng, Matteo Rizzi
In this paper we prove the existence of normalized solutions to the following Schrödinger-Poisson equation $$ \begin{cases} -Îu…