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math.AP2026
Segregated solutions for a critical Choquard system with a small interspecies repulsive force
Sabrina Caputo
In this work, I focus on a coupled system of nonlinear Choquard equations in dimension 4, characterized by critical nonlocal nonlinearities and a small repulsive interspecies inter…
math.AP2025
Infinitely many non-radial solutions to a critical Choquard equation
Sabrina Caputo, Giusi Vaira
In this paper we study a class of critical Choquard equations with a symmetric potential, i.e. we consider the equation $$-Îu +V(|x|) u =\left(|x|^{-μ}* |u|^{2^\star_μ}\right)|u…
math.AP2024
Partially concentrating solutions for systems with Lotka-Volterra type interactions
Sabrina Caputo, Giusi Vaira
In this paper we consider the existence of standing waves for a coupled system of equations with Lotka-Volterra type interaction. We prove the existence of a standing wave solu…