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math.AP2025
Global minimizers for fast diffusion versus nonlocal interactions on negatively curved manifolds
José A. Carrillo, Razvan C. Fetecau, Hansol Park
We investigate the existence of ground states for a free energy functional on Cartan-Hadamard manifolds. The energy, which consists of an entropy and an interaction term, is associ…
math.AP2024
Existence of ground states for free energies on the hyperbolic space
José A. Carrillo, Razvan C. Fetecau, Hansol Park
We investigate a free energy functional that arises in aggregation-diffusion phenomena modelled by nonlocal interactions and local repulsion on the hyperbolic space $\bbh^\dm$. The…