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math.AP2025
Optimal boundary regularity for mixed local and nonlocal equations
Nicola Abatangelo, Elisa Affili, Matteo Cozzi
We provide sharp boundary regularity estimates for solutions to elliptic equations driven by an integro-differential operator obtained as the sum of a Laplacian with a nonlocal ope…
math.AP2025
Controllability of diffusive Lotka-Volterra strongly competitive systems under boundary constrained controls
Elisa Affili, Enrique Zuazua
We investigate the controllability of the competition-diffusion Lotka-Volterra system. Our primary focus is on the one-dimensional setting with Dirichlet boundary controls, interpr…
math.AP2024
A New Lotka-Volterra Model of Competition With Strategic Aggression -- Civil Wars When Strategy Comes Into Play
Elisa Affili, Serena Dipierro, Luca Rossi +1
In this monograph, we introduce a new model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. The interac…