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math.AP2026
On elliptic systems with -wise interactions in the strong competition regime: uniform Hölder bounds and properties of the limiting configurations
Lorenzo Giaretto
In this paper we investigate a class of variational reaction-diffusion systems with strong competition driven by beyond-pairwise interactions. The model involves nonnegative co…
math.AP2025
On least energy solutions for a nonlinear Schrödinger system with -wise interaction
Lorenzo Giaretto, Nicola Soave
In this paper we establish existence and properties of minimal energy solutions for the weakly coupled system $$ \begin{cases} -Îu_i + λ_i u_i = μ_i|u_i|^{Kq-2}u_i + β|u_i|^{q-…