5 papers
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,…
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^2Îu +λu=ε^{-(N-μ)}\left(\int_{\mathbb{R}^N}\f…
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…