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math.AP2024
Normalized ground state solutions of Schrödinger-KdV system in
Qian Gao, Qun Wang, Xiaojun Chang
In this paper, we study the coupled Schrödinger-KdV system \begin{align*} \begin{cases} -Δu +λ_1 u=u^3+βuv~~&\text{in}~~\mathbb{R}^{3}, \\-Δv +λ_2 v=\frac{1}{2}v^2+\frac{1}{2}βu^2~…
math.AP2024
Normalized solutions of -supercritical Kirchhoff equations in bounded domains
Qun Wang, Xiaojun Chang
In this paper, we investigate the existence of normalized solutions for the following nonlinear Kirchhoff type problem \begin{equation*} \begin{cases} -(a+b\int_Ω\vert\nabla u\vert…