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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…