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20162026
most citedExistence of solutions for fractional p-Kirchhoff type equations with a generalized Choquard nonlinearities

3 citations · 4 across the 12 of their papers we have counts for

collaborators

12 papers

math.AP2026

Concentration, Local Uniqueness, and Morse Index of Multi-bubble Solutions for a Critical Exponential Biharmonic Choquard Equation

Wenjing Chen, Shengbing Deng

Let be a bounded domain of class , let , and let be positive. We study the Navier problem \[ Δ^2u=\varepsilon^{8-α}K(x)e^{u…

math.AP2026

Complete Spectrum and Sharp Local Stability for the Critical Exponential Biharmonic Choquard Equation in \(\mathbb R^{4}\)

Wenjing Chen, Shengbing Deng

We study the conformally invariant exponential biharmonic Choquard equation in \(\mathbb R^{4}\). Our principal result is the complete spectral resolution of the linearized operato…

math.AP2023

Normalized solutions for a fractional Choquard-type equation with exponential critical growth in

Wenjing Chen, Qian Sun, Zexi Wang

In this paper, we study the following fractional Choquard-type equation with prescribed mass \begin{align*} \begin{cases} (-Δ)^{1/2}u=λu +(I_μ*F(u))f(u),\ \ \mbox{in}\ \mathbb{R},…

math.AP2023

Normalized ground states for a biharmonic Choquard system in

Wenjing Chen, Zexi Wang

In this paper, we study the existence of normalized ground state solutions for the following biharmonic Choquard system \begin{align*} \begin{split} \left\{ \begin{array}{ll} Δ^2u=…

math.AP2023

Normalized solutions to the biharmonic nonlinear Schrödinger equation with combined nonlinearities

Wenjing Chen, Zexi Wang

In this article, we study the existence of normalized ground state solutions for the following biharmonic nonlinear Schrödinger equation with combined nonlinearities \begin{equatio…

math.AP2023★ 1 cited

A weighted Adams' inequality in and applications

Wenjing Chen, Shiqi Zhang

In this paper, we establish a weighted Adams' inequality in some appropriate weighted Sobolev space in . Then we give an improvement inequality by proving the concent…

math.AP2022

Normalized ground states for a biharmonic Choquard equation with exponential critical growth

Wenjing Chen, Zexi Wang

In this paper, we consider the normalized ground state solution for the following biharmonic Choquard type problem \begin{align*} \begin{split} \left\{ \begin{array}{ll} Δ^2u-βΔu=λ…

math.AP2022

Sign-changing bubble tower solutions for a Paneitz-type problem

Wenjing Chen, Xiaomeng Huang

This paper is concerned with the following biharmonic problem \begin{equation}\label{ineq} \begin{cases} Δ^2 u=|u|^{\frac{8}{N-4}}u &\text{ in } \ Ω\backslash \overline{B(ξ_0,\vare…

math.AP2021

Multiplicity and concentration of solutions for a fractional -Kirchhoff type equation

Wenjing Chen, Huayu Pan

This paper is concerned with the following fractional -Kirchhoff equation \begin{eqnarray*} \varepsilon ^{sp}M\left( {\varepsilon ^{sp - N}}\iint_{\mathbb{R}^{2N}}\frac{{{{\left…

math.AP2018★ 3 cited

Existence of solutions for fractional p-Kirchhoff type equations with a generalized Choquard nonlinearities

Wenjing Chen

In this article, we establish the existence of solutions to the fractional Kirchhoff type equations with a generalized Choquard nonlinearities without assuming the Ambrosetti-R…

math.AP2017

Nonlocal problems with critical Hardy nonlinearity

Wenjing Chen, Sunra Mosconi, Marco Squassina

By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined…

math.AP2016

Critical nonlocal systems with concave-convex powers

Wenjing Chen, Marco Squassina

By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional -Laplacian system involving critical concave-…