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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} &-Δu-\fracμ{|x|^2}h(x)u+λu =f(u)\quad\text{in}\quad\mathbb{…
math.AP2023
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} -Δu+V(…