1 citations · 1 across the 10 of their papers we have counts for
13 papers
Uniqueness of prescribed-node radial bound states for a zero-mass double-power equation
Wenjing Chen, Zexi Wang
We study radial bound states of \[ Δu-\abs{u}^{q-1}u+\abs{u}^{p-1}u=0 \quad\text{in }\R^n, \qquad n\ge3,\qquad 1<q<p<\frac{n+2}{n-2}. \] For every integer , we prove that th…
Radial Nodal Dirichlet Solutions of Singular Elliptic Equations: Global Branches, Endpoint Asymptotics, and Morse Indices
Wenjing Chen, Zexi Wang
We establish sharp finite-ball shooting classifications for radial nodal Dirichlet solutions of the logarithmic equation and, within the maximal simple-zero shooting class, of the…
Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group
Wenjing Chen, Zexi Wang
We investigate the optimal Bianchi-Egnell-type quantitative stability constant for the critical nonlocal Sobolev inequality on the Heisenberg group , \begin{equatio…
Remainder terms and sharp quantitative stability for a nonlocal Sobolev inequality on the Heisenberg group
Wenjing Chen, Zexi Wang
In this paper, we study the following nonlocal Sobolev inequality on the Heisenberg group \begin{equation}\label{eq:HLS} S_{HL}(Q,μ) \left(\int_{\mathbb{H}^{n}}\int_{\mathbb{H}^{n}…
Construction of solutions for the critical polyharmonic equation with competing potentials
Wenjing Chen, Zexi Wang
In this paper, we consider the following critical polyharmonic equation \begin{align*}%\label{abs} ( -Δ)^m u+V(|y'|,y'')u=Q(|y'|,y'')u^{m^*-1},\quad u>0, \quad y=(y',y'')\in \mathb…
Blowing-up solutions for the Choquard type Brezis-Nirenberg problem in dimension three
Wenjing Chen, Zexi Wang
In this paper, we are interested in the existence of solutions for the following Choquard type Brezis-Nirenberg problem \begin{align*} \left\{ \begin{array}{ll} -Δu=\displaystyle\B…
New type of solutions for a critical Grushin-type problem with competing potentials
Wenjing Chen, Zexi Wang
In this paper, we consider a critical Grushin-type problem with double potentials. By applying the reduction argument and local Pohouzaev identities, we construct a new family of s…
New type of solutions for the critical polyharmonic equation
Wenjing Chen, Zexi Wang
In this paper, we consider the following critical polyharmonic equation \begin{align*}%\label{abs} ( -Δ)^m u+V(|y'|,y'')u=u^{m^*-1},\quad u>0, \quad y=(y',y'')\in \mathbb{R}^3\time…
Blow-up solutions concentrated along minimal submanifolds for asymptotically critical Lane-Emden systems on Riemannian manifolds
Wenjing Chen, Zexi Wang
Let and be two Riemannian manifolds of dimensions and , respectively. Let , . The warped product $\mathcal{M}…
Multiple blowing-up solutions for asymptotically critical Lane-Emden systems on Riemannian manifolds
Wenjing Chen, Zexi Wang
Let be a smooth compact Riemannian manifold of dimension . We are concerned with the following elliptic system \begin{align*} \left\{ \begin{array}{ll} -…
Normalized solutions for a fractional -Laplacian Choquard equation with exponential critical nonlinearities
Wenjing Chen, Zexi Wang
In this paper, we are concerned with the following fractional -Laplacian Choquard equation \begin{align*} \begin{cases} (-Δ)^s_{N/s}u=λ|u|^{\frac{N}{s}-2}u +(I_μ*F(u))f(u),\ \…
Normalized ground states for a fractional Choquard system in
Wenjing Chen, Zexi Wang
In this paper, we study the following fractional Choquard system \begin{align*} \begin{split} \left\{ \begin{array}{ll} (-Δ)^{1/2}u=λ_1 u+(I_μ*F(u,v))F_u (u,v), \quad\mbox{in}\ \ \…
Normalized solutions for a biharmonic Choquard equation with exponential critical growth in
Wenjing Chen, Zexi Wang
In this paper, we study the following biharmonic Choquard type equation \begin{align*} \begin{split} \left\{ \begin{array}{ll} γΔ^2u-βΔu=λu+(I_μ*F(u))f(u), \quad\mbox{in}\ \ \mathb…