6 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*} -Îu+λu+α\left(…
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 dimension…
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 b…