2 papers
math.AP2025
Sign-changing solutions for critical Hamiltonian systems in
Yuxia Guo, Seunghyeok Kim, Angela Pistoia +1
We build infinitely many geometrically distinct non-radial sign-changing solutions for the Hamiltonian-type elliptic systems $$ -Δu =|v|^{p-1}v\ \hbox{in}\ \mathbb{R}^N,\ -Δv =|u|^…
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…