76 citations · 189 across the 19 of their papers we have counts for
19 papers
Existence and Uniqueness of Normalized Multi-peak Solutions for Coupled Nonlinear Schrödinger Systems
Wenhao Hu, Benniao Li, Wei Long +1
We consider the following two-component coupled nonlinear Schrödinger (CNLS) system: \[ \begin{cases} -Δu +(P(x) + λ) u=μ_1 u^3+βu v^2, & \text{in } \mathbb{R}^N,\\ -Δv +(Q(x) + λ)…
A new type of bubble solutions for a critical fractional Schrödinger equation
Fan Du, Qiaoqiao Hua, Chunhua Wang
We consider the following critical fractional Schrödinger equation \begin{equation*} (-Δ)^s u+V(|y'|,y'')u = u^{2_s^*-1},\quad u>0,\quad y =(y',y'') \in \mathbb{R}^3\times\mathbb{R…
Existence and local uniqueness of multi-peak solutions for the Chern-Simons-Schrödinger system
Qiaoqiao Hua, Chunhua Wang, Jing Yang
In the present paper, we consider the Chern-Simons-Schrödinger system \begin{equation} \left\{ \begin{aligned} &-\varepsilon^{2}Δu+V(x)u+(A_{0}+A_{1}^{2}+A_{2}^{2})u=|u|^{p-2}u,\,\…
Existence, Local uniqueness and periodicity of bubbling solutions for a critical nonlinear elliptic equation
Chunhua Wang, Qingfang Wang, Jing Yang
We revisit the following nonlinear critical elliptic equation \begin{equation*} -Δu+Q(y)u=u^{\frac{N+2}{N-2}},\;\;\; u>0\;\;\;\hbox{ in } \mathbb{R}^N, \end{equation*} where $N\geq…
Concentrated solutions to fractional Schrödinger equations with prescribed -norm
Qing Guo, Peng Luo, Chunhua Wang +1
We investigate the existence and local uniqueness of normalized -peak solutions for the fractional Schrödinger equations with attractive interactions with a class of degenerated…
A new type of bubble solutions for a Schrödinger equation with critical growth
Qihan He, Chunhua Wang, Qingfang Wang
In this paper, we investigate the following critical elliptic equation where is a b…
Existence and local uniqueness of normalized peak solutions for a Schrodinger-Newton system
Qing Guo, Peng Luo, Chunhua Wang +1
In this paper, we investigate the existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system under the assumption that the trapping potential is de…
Large number of bubble solutions for a perturbed fractional Laplacian equation
Chunhua Wang, Suting Wei
This paper deals with the following nonlinear perturbed fractional Laplacian equation wh…
Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients\protect\thanks{A perturbed nonlinear Schrödinger system
Xiaoming An, Chunhua Wang
In this paper, we consider the following weakly coupled nonlinear Schrödinger system \begin{equation*} \left\{ \begin{array}{ll} -ε^{2}Δu_1 + V_1(x)u_1 = |u_1|^{2p - 2}u_1 + β|u_1|…
Multi-peak positive solutions to a class of Kirchhoff equations
Peng Luo, Shuangjie Peng, Chunhua Wang +1
In the present paper, we consider the nonlocal Kirchhoff problem \begin{eqnarray*} -\left(ε^2a+εb\int_{\mathbb{R}^{3}}|\nabla u|^{2}\right)Δu+V(x)u=u^{p},\,\,\,u>0 & & \text{in }\m…
Uniqueness and Nondegeneracy of positive solutions to Kirchhoff equations and its applications in singular perturbation problems
Gongbao Li, Peng Luo, Shuangjie Peng +2
In the present paper, we establish the uniqueness and nondegeneracy of positive energy solutions to the Kirchhoff equation \begin{eqnarray*} -\left(a+b\int_{\mathbb{R}^{3}}|\nabla…
Uniqueness of positive solutions with Concentration for the Schrödinger-Newton problem
Peng Luo, Shuangjie Peng, Chunhua Wang
We are concerned with the following Schrödinger-Newton problem \begin{equation} -\varepsilon^2Δu+V(x)u=\frac{1}{8π\varepsilon^2} \big(\int_{\mathbb R^3}\frac{u^2(ξ)}{|x-ξ|}dξ\big)u…
Uniqueness and nondegeneracy of positive solutions to a class of Kirchhoff equations in
Gongbao Li, Shuangjie Peng, Chang-Lin Xiang
In this paper, we establish a type of uniqueness and nondegeneracy results for positive solutions to the following nonlocal Kirchhoff equations \begin{eqnarray*} -\left(a+b\int_{\m…
Solutions for a nonlocal elliptic equation involving critical growth and Hardy potential
Chunhua Wang, Jing Yang, Jing Zhou
In this paper, by an approximating argument, we obtain infinitely many solutions for the following Hardy-Sobolev fractional equation with critical growth \begin{equation*}\label{0.…
Infinitely many sign-changing solutions for an elliptic problem with double critical Hardy-Sobolev-Maz'ya terms
Chunhua Wang, Jing Yang
In this paper, we investigate the following elliptic problem involving double critical Hardy-Sobolev-Maz'ya terms: $$ \left\{\begin{array}{ll} -Δu = μ\frac{|u|^{2^*(t)-2}u}{|y|^t}…
Infinitely many solutions for p-Laplacian equation involving double critical terms and boundary geometry
Chunhua Wang, Changlin Xiang
Let , , , , and $\Om\in C^{1}$ be a bounded domain in with $0\in\bar{\Om}.$ In this paper, we study the following prob…
Infinitely many solutions for a nonlinear Schrödinger equation with non-symmetric electromagnetic fields
Weiming Liu, Chunhua Wang
In this paper, we study the nonlinear Schrödinger equation with non-symmetric electromagnetic fields $$\Big(\frac{\nabla}{i}-A_ε x)\Big)^2 u+V_ε(x)u=f(u),\ u\in H^1 (\mathbb{R}^N,\…
NODAL Vector solutions with clustered peaks for a nonlinear elliptic equations in
Qihan He, Chunhua Wang
In this paper, we study the following coupled nonlinear Schrödinger system in $$ \left\{% \begin{array}{ll} -ε^2Δu +P(x)u=μ_1 u^3+βv^2u,~~&x\in \R^3,\vspace{0.15cm}\\ -ε^2Δv…
Infinitely many solutions to linearly coupled Schrödinger equations with non-symmetric potential
Chunhua Wang, Jing Yang
We study a linearly coupled Schrödinger system in Assume that the potentials in the system are continuous functions satisfying suitable decay assumptions, but witho…