Shaolong Peng

activity

20182025

most citedNon-degeneracy of solution for critical Lane-Emden systems with linear perturbation

5 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2025

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in $R^{n}$ with $n \geq 3$

Wei Dai, Yichen Hu, Shaolong Peng

Assume $n \geq 3$ and $u \in H ˙^{1} (R^{n})$ . Recently, Piccione, Yang and Zhao \cite{Piccione-Yang-Zhao} established a nonlocal version of Struwe's decomposition in \cite{St…

math.AP2022★ 5 cited

Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation

Yuxia Guo, Yichen Hu, Shaolong Peng

In this paper, we consider the following elliptic system \begin{equation*} \begin{cases} -Δu = |v|^{p-1}v +ε(αu + β_1 v), &\hbox{ in }Ω, \\-Δv = |u|^{q-1}u+ε(β_2 u +αv), &\hbox{ in…

math.AP2018

Liouville type theorems, a priori estimates and existence of solutions for non-critical higher order Lane-Emden-Hardy equations

Wei Dai, Shaolong Peng, Guolin Qin

In this paper, we are concerned with the non-critical higher order Lane-Emden-Hardy equations \begin{equation*} (-Δ)^{m}u(x)=\frac{u^{p}(x)}{|x|^{a}} \,\,\,\,\,\,\,\,\,\,\,\, \text…

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in Rn with n≥3

Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation

Liouville type theorems, a priori estimates and existence of solutions for non-critical higher order Lane-Emden-Hardy equations

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in $R^{n}$ with $n \geq 3$