12 citations · 19 across the 26 of their papers we have counts for
9 papers · 2 filters
Caffarelli-Kohn-Nirenberg-type inequalities related to weighted -Laplace equations
Shengbing Deng, Xingliang Tian
We use a suitable transform related to Sobolev inequality to investigate the sharp constants and optimizers for some Caffarelli-Kohn-Nirenberg-type inequalities which are related t…
Normalized solutions for a Choquard equation with exponential growth in
Shengbing Deng, Junwei Yu
In this paper, we study the existence of normalized solutions to the following nonlinear Choquard equation with exponential growth \begin{align*} \left\{ \begin{aligned} &-Δu+λu=(I…
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…
On a class of singular Hamiltonian Choquard-type elliptic systems with critical exponential growth
Shengbing Deng, Junwei Yu
In this paper, we study the following Hamiltonian Choquard-type elliptic systems involving singular weights \begin{eqnarray*} \begin{aligned}\displaystyle \left\{ \arraycolsep=1.5p…
Some weighted fourth-order Hardy-Henon equations
Shengbing Deng, Xingliang Tian
By using a suitable transform related to Sobolev inequality, we investigate the sharp constants and optimizers in radial space for the following weighted Caffarelli-Kohn-Nirenberg-…
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\…
Existence and multiplicity of solutions to a Kirchhoff type elliptic system with Trudinger-Moser growth
Shengbing Deng, Xingliang Tian
This paper deals with the existence and multiplicity of solutions for a class of Kirchhoff type elliptic system involving the Trudinger-Moser exponential growth nonlinearities. We…