5 citations · 5 across the 6 of their papers we have counts for
6 papers · 1 filter
Uniqueness and Nondegeneracy of Ground State for the -Critical Boson Star Equation
Pan Chen, Qi Guo, Juncheng Wei +1
We prove uniqueness, up to phase rotations and translations, of the ground state for the -critical boson star equation \[ (\sqrt{-Δ}+1)Q =\bigl(|x|^{-1}* |Q|^2\bigr)Q, \qquad…
Existence and multiplicity of -Normalized solutions for the periodic Schrödinger system of Hamiltonian type
Ruowen Qiu, Yuanyang Yu, Fukun Zhao
In this paper, we study the following nonlinear Schrödinger system of Hamiltonian type \begin{equation*} \left\{\begin{array}{l} -Δu+V(x)u=\partial_v H(x,u,v)+ωv, \ x \in \mathbb{R…
Critical fractional Kirchhoff problems: Uniqueness and Nondegeneracy
Zhipeng Yang, Yuanyang Yu
In this paper, we consider the following critical fractional Kirchhoff equation \begin{equation*} \Big(a+b{\int_{\mathbb{R}^{N}}}|(-Δ)^{\frac{s}{2}}u|^2dx\Big)(-Δ)^su=|u|^{2^*_s-2}…
Existence and Multiplicity of Normalized Solutions for Dirac Equations with non-autonomous nonlinearities
Anouar Bahrouni, Qi Guo, Hichem Hajaiej +1
In this paper, we study the following nonlinear Dirac equations \begin{align*} \begin{cases} -i\sum\limits_{k=1}^3α_k\partial_k u+mβu=f(x,|u|)u+ωu, \displaystyle \int_{\mathbb{R}^3…
Existence and concentration of solution for Schrödinger-Poisson system with local potential
Zhipeng Yang, Yuanyang Yu
In this paper, we study the following nonlinear Schrödinger-Poisson type equation \begin{equation*} \begin{cases} -\varepsilon^2Δu+V(x)u+K(x)ϕu=f(u)&\text{in}\ \mathbb{R}^3,\\ -\va…
An infinite sequence of localized nodal solutions for Schrödinger-Poisson system with double potentials
Yuanyang Yu, Yanheng Ding
In this paper, we study the existence of localized sign-changing (or nodal) solutions for the following nonlinear Schrödinger-Poisson system \begin{equation*} \begin{cases} -\varep…