4 papers
The mass-mixed case for normalized solutions to NLS equations in dimension two
Daniele Cassani, Ling Huang, Cristina Tarsi +1
\noindent We are concerned with positive normalized solutions to the following semi-linear Schrödinger equations $$ -Δu+λu=f(u), \quad\…
Single-peak and multi-peak solutions for Hamiltonian elliptic systems in dimension two
Hui Zhang, Minbo Yang, Jianjun Zhang +1
This paper is concerned with the Hamiltonian elliptic system in dimension two\begin{equation*}\aligned \left\{ \begin{array}{lll} -ε^2Δu+V(x)u=g(v)\ & \text{in}\quad \mathbb{R}^2,\…
Normalized solutions for critical Choquard systems
Hui Zhang, Jianjun Zhang, Xuexiu Zhong
In this paper, we consider the critical Choquard system with prescribed mass \begin{equation*} \begin{aligned} \left\{ \begin{array}{lll} -Δu+λ_1u=(I_μ\ast |u|^{2^*_μ})|u|^{2^*_μ-2…
Normalized solutions for a Kirchhoff type equations with potential in
Leilei Cui, Qihan He, Zongyan Lv +1
In the present paper, we study the existence of normalized solutions to the following Kirchhoff type equations \begin{equation*} -\left(a+b\int_{\R^3}|\nabla u|^2\right)Δu+V(x)u+λu…