2 papers
math.AP2025
Qualitative analysis on the critical points of the Kirchhoff-Routh function
Francesca Gladiali, Massimo Grossi, Peng Luo +1
In this paper, we study the number of critical points of the Kirchhoff-Routh function \begin{equation*} \mathcal{KR}_D(x,y)=Î_1^2\mathcal{R}_D(x)+Î_2^2\mathcal{R}_D(y)-2Î_1Î_2G…
math.AP2025
Morse index, topological degree and local uniqueness of multi-spikes solutions to the Lane-Emden problem in dimension two
Isabella Ianni, Peng Luo, Shusen Yan
We consider multi-spike positive solutions to the Lane-Emden problem in any bounded smooth planar domain and compute their Morse index, extending to the dimension classical t…