3 papers
math.AP2023
Normalized Solutions to Nonautonomous Kirchhoff Equation
Xin Qiu, Zeng-Qi Ou, Ying Lv
In this paper, we study the existence of normalized solutions to the following Kirchhoff equation with a perturbation: $$ \left\{ \begin{aligned} &-\left(a+b\int _{\mathbb{R}^{N}}\…
math.AP2023
Normalized bound state solutions for the fractional Schrödinger equation with potential
Xin Bao, Ying Lv, Zeng-Qi Ou
In this paper, we study the following fractional Schrödinger equation with prescribed mass \begin{equation*} \left\{ \begin{aligned} &(-Δ)^{s}u=λu+a(x)|u|^{p-2}u,\quad\text{in $\ma…
math.AP2023
Normalized bound state solutions of fractional Schrödinger equations with general potential
Xin Bao, Ying Lv, Zeng-Qi Ou
In this paper, we study a class of fractional Schrödinger equation \begin{equation} \label{eq0} \left\{ \begin{aligned} &(-Δ)^{s}u=λu+a(x)|u|^{p-2}u,\\ &\int_{\mathbb{R}^{N}}|u|^{2…