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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} (-Î)^s u = H_v(x,u,v) & \text{in…
math.AP2024
Shape optimization problems involving nonlocal and nonlinear operators
Ignacio Ceresa Dussel
In this research, we investigate a general shape optimization problem in which the state equation is expressed using a nonlocal and nonlinear operator. We prove the existence of a…