3 papers
math.AP2024
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…
math.AP2024
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…
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},…