173 citations · 449 across the 41 of their papers we have counts for
6 papers · 1 filter
On finite Morse index solutions to the quadharmonic Lane-Emden equation
Senping Luo, Juncheng Wei, Wenming Zou
In this paper, we compute the Joseph-Lundgren exponent for the quadharmonic Lane-Emden equation, derive a monotonicity formula and classify the finite Morse index solution to the f…
Classification of the stable solution to the fractional Lane-Emden equation
Senping Luo, Juncheng Wei, Wenming Zou
We classify the stable solutions (positive or sign-changing, radial or not) to the following nonlocal Lane-Emden equation: in for .
Existence, nonexistence, symmetry and uniqueness of ground state for critical Schrödinger system involving Hardy term
Senping Luo, Wenming Zou
We study the following elliptic system with critical exponent: \begin{displaymath} \begin{cases}-Δu_j-\frac{λ_j}{|x|^2}u_j=u_j^{2^*-1}+\sum\limits_{k\neq j}β_{jk}α_{jk}u_j^{α_{jk}-…
On the triharmonic Lane-Emden equation
Senping Luo, Juncheng Wei, Wenming Zou
We derive a monotonicity formula and classify finite Morse index solutions (positive or sign-changing, radial or not) to the following triharmonic Lane-Emden equation: \begin{equat…
Multiplicity and concentration behavior of solutions to the critical Kirchhoff type problem
Jian Zhang, Wenming Zou
In this paper, we study the multiplicity and concentration of the positive solutions to the following critical Kirchhoff type problem: \begin{equation*} -\left(\varepsilon^2 a+\var…
On the equation
Senping Luo, Juncheng Wei, Wenming Zou
The note is aimed at giving a complete characterization of the following equation: $$\displaystyle p\frac{Γ(\frac{n}{2}-\frac{s}{p-1})Γ(s+\frac{s}{p-1})}{Γ(\frac{s}{p-1})Γ(\frac{n-…