5 papers
Compactness of positive radial Solution Sets and corresponding -Mass sets for "Zero Mass" Quasi-linear Schrödinger Equations
Haidong Liu, Yulan Tang, Chengcheng Wu
We study the compactness of two sets of positive radial solutions to ``zero mass'' quasi-linear Schrödinger equation \[ -Δu-uΔ(|u|^2)=g(u) \quad\text{in }\mathbb R^N,\quad N\ge5. \…
Extremizers for a trilinear Stein-Weiss inequality with nonnegative weights
Chengcheng Wu, Ziyu Gan, Yongliang Zhou
We study extremizers for a trilinear Stein-Weiss inequality on . Within the known boundedness region, we prove attainment under two additional assumptions: all six we…
Normalized grounded states for a coupled nonlinear schrödinger system on
Chengcheng Wu
We investigate the existence of normalized ground states to the system of coupled Schrödinger equations: \begin{equation}\label{eq:0.1} \begin{cases} -Δu_1 + λ_1 u_1 = μ_1 |u_1|^{p…
On existence, uniqueness and radiality of normalized solutions to Schrödinger-Poisson equations with non-autonomous nonlinearity
Chengcheng Wu
We investigate the existence, uniqueness, and radial symmetry of normalized solutions to the Schrödinger Poisson equation with non-autonomous nonlinearity : \begin{equation…
On uniqueness and radiality of minimizers to supercritical Schrödinger Poisson equations with general nonlinearities
Chengcheng Wu, Linjie Song
We study the uniqueness and the radial symmetry of minimizers on a Pohozaev-Nehari manifold to the Schrödinger Poisson equation with a general nonlinearity . Particularly, we…