Peng Luo

activity

20152022

most citedUniqueness and Nondegeneracy of positive solutions to Kirchhoff equations and its applications in singular perturbation problems

76 citations · 186 across the 13 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022

Qualitative analysis for Moser-Trudinger nonlinearities with a low energy

Peng Luo, Kefan Pan, Shuangjie Peng

We are concerned with the Moser-Trudinger problem \begin{equation*} \begin{cases} -Δu=λue^{u^2}~~&\mbox{in}~Ω,\\[0.5mm] u>0 ~~ &{\text{in}~Ω},\\[0.5mm] u=0~~&\mbox{on}~\partial Ω,…

math.AP2022

Qualitative analysis on the critical points of the Robin function

Francesca Gladiali, Massimo Grossi, Peng Luo +1

Let $Ω \subset R^{N}$ be a smooth bounded domain with $N \geq 2$ and $Ω_{ε} = Ω\ B (P, ε)$ where $B (P, ε)$ is the ball centered at $P \in Ω$ and radius $ε$ . In this paper, we est…