5 papers · 1 filter
Normalized solutions for Schrödinger systems in dimension two
Shengbing Deng, Junwei Yu
In this paper, we study the existence of normalized solutions to the following nonlinear Schrödinger systems with exponential growth \begin{align*} \left\{ \begin{aligned} &-Δu+λ_{…
Existence of solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R
Shengbing Deng, Junwei Yu
In this paper, we study the following class of fractional Hamiltonian systems: \begin{eqnarray*} \begin{aligned}\displaystyle \left\{ \arraycolsep=1.5pt \begin{array}{ll} (-Δ)^{\fr…
Boundary concentration of peak solutions for fractional Schrödinger-Poisson system
Shengbing Deng, Xingliang Tian
The goal of this paper is to study the existence of peak solutions for the following fractional Schrödinger-Poisson system: \begin{eqnarray*} \left\{ \arraycolsep=1.5pt \begin{arra…
On a nonhomogeneous Kirchhoff type elliptic system with the singular Trudinger-Moser growth
Shengbing Deng, Xingliang Tian
The aim of this paper is to study the multiplicity of solutions for the following Kirchhoff type elliptic systems \begin{eqnarray*} \left\{ \arraycolsep=1.5pt \begin{array}{ll} -m\…
High energy sign-changing solutions for Coron's problem
Shengbing Deng, Monica Musso
We study the existence of sign changing solutions to the following problem $$ (P) \quad \quad \quad \left\{ \begin{array}{ll} Δu+|u|^{p-1}u=0 \quad & {\rm in} \quad Ω_ε; u=0 \quad…