1 citations · 1 across the 11 of their papers we have counts for
11 papers
Uniqueness of Ground State Solutions for a Defocusing Hartree Equation via Inverse Optimal Problems
Yavdat Il'yasov, Juntao Sun, Nur Valeev +1
We study a generalized defocusing Hartree equation with nonlocal exchange potential and repulsive Hartree--Fock interaction. Using an inverse optimal problem (IOP) approach, we pro…
On planar Schrodinger-Poisson systems with repulsive interactions in the mass supercritical regime
Juntao Sun, Shuai Yao, He Zhang
In this paper, we investigate solutions with prescribed -norm (i.e., prescribed mass) for the planar Schrödinger-Poisson (SP) equation% \begin{equation*} -Δu+λu+α\left( \log…
Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case
Juntao Sun, Shuai Yao, He Zhang
We study normalized solutions for the nonlinear Schrodinger (NLS) equation with potential and Sobolev critical nonlinearity. By establishing suitable assumptions on the potential,…
Three bound states with prescribed angular momentum to the cubic-quintic NLS equations in
Shuai Yao, Juntao Sun
In this paper, we investigate bound states with prescribed angular momentum and mass for the nonlinear Schrödinger equations (NLS) with the cubic-quintic nonlinearity in dimensions…
Normalized multi-bump solutions for Choquard equation involving sublinear case
He Zhang, Shuai Yao, Haibo Chen
In this paper, we study the existence of normalized multi-bump solutions for the following Choquard equation \begin{equation*} -ε^2Δu +λu=ε^{-(N-μ)}\left(\int_{\mathbb{R}^N}\frac{Q…
Standing waves with prescribed mass for biharmonic NLS with positive dispersion and Sobolev critical exponent
Juntao Sun, Shuai Yao, He Zhang
We investigate standing waves with prescribed mass for a class of biharmonic Schrodinger equations with positive Laplacian dispersion in the Sobolev critical regime. By establishin…
Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity
He Zhang, Haibo Chen, Shuai Yao +1
We investigate normalized solutions for a class of nonlinear Schrödinger (NLS) equations with potential and inhomogeneous nonlinearity on a bou…
Standing waves with prescribed mass for Schrodinger equations with competing Van Der Waals type potentials
Shuai Yao, Hichem Hajaiej, Juntao Sun
We investigate standing waves with prescribed mass for a class of Schrodinger equations with competing Van Der Waals type potentials, arising in a model of non-relativistic bosonic…
Existence and dynamical behaviour of vectorial standing waves with prescribed mass for Hartree-Fock type systems
Shuai Yao, Juntao Sun, Tsung-fang Wu
In this paper, we investigate vectorial standing waves with prescribed mass for the Hartree-Fock type system (HF system) with the double coupled feature. Such system is viewed as a…
The planar Schrodinger--Poisson system with exponential critical growth: The local well-posedness and standing waves with prescribed mass
Juntao Sun, Shuai Yao, Jian Zhang
In this paper, we investigate a class of planar Schrödinger-Poisson systems with critical exponential growth. We establish conditions for the local well-posedness of the Cauchy pro…
Standing waves for the NLS equation with competing nonlocal and local nonlinearities: the double -supercritical case
Shuai Yao, Hichem Hajaiej, Juntao Sun +1
We investigate the NLS equation with competing Hartree-type and power-type nonlinearities \begin{equation*} \begin{array}{ll} i\partial _{t}ψ+Δψ+γ(I_{α}\ast |ψ|^{p})|ψ|^{p-2}ψ+μ|ψ|…