2 citations · 2 across the 6 of their papers we have counts for
6 papers
Semi-classical states for fractional Choquard equations with decaying potentials
Yinbin Deng, Shuangjie Peng, Xian Yang
This paper deals with the following fractional Choquard equation where $\varep…
Existence and decays of solutions for fractional Schrödinger equations with decaying potentials
Yinbin Deng, Shuangjie Peng, Xian Yang
We revisit the following fractional Schrödinger equation \begin{align}\label{1a} \varepsilon^{2s}(-Δ)^su +Vu=u^{p-1},\,\,\,u>0,\ \ \ \mathrm{in}\ \R^N, \end{align} where $\varepsil…
The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation
Yinbin Deng, Qihan He, Yiqing Pan +1
We consider the existence and nonexistence of positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: \begin{equation*} \begin{cases} -Δu={\left…
Existence and Concentration Results for the General Kirchhoff Type Equations
Yinbin Deng, Wei Shuai, Xuexiu Zhong
We consider the following singularly perturbed Kirchhoff type equations $$-\varepsilon^2 M\left(\varepsilon^{2-N}\int_{\R^N}|\nabla u|^2 dx\right)Δu +V(x)u=|u|^{p-2}u~\hbox{in}~\R^…
Sharp interaction estimates and their application: existence of normalized ground states to coupled Schrödinger systems with potentials
Yinbin Deng, Qihan He, Xuexiu Zhong
In this paper, our aim is to prove the existence of normalized ground state for the following Schrödinger systems with potentials $$\begin{cases} -Δu_1+V_1(x)u_1+λ_1 u_1=\partial_1…
Regularity of the solutions for nonlinear biharmonic equations in R^{N}
Yinbin Deng, Yi Li
The purpose of this paper is to establish the regularity the weak solutions for a nonlinear biharmonic equation.