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math.AP2025
Fractional Lane-Emden Hamiltonian systems
Ignacio Ceresa Dussel, Julián Fernández Bonder, Nicolas Saintier +1
In this work, our interest lies in proving the existence of solutions to the following Fractional Lane-Emden Hamiltonian system: $$ \begin{cases} (-Δ)^s u = H_v(x,u,v) & \text{in }…
math.AP2022
Opinion formation process in a hierarchical society
María Celeste Romero Longar, Nicolas Saintier, Analía Silva
In this work we study the formation of consensus in a hierarchical population. We derive the corresponding kinetic equations, and analyze the long time behaviour of their solutions…