11 citations · 29 across the 12 of their papers we have counts for
4 papers · 2 filters
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…