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math.AP2024
On partially segregated harmonic maps: optimal regularity and structure of the free boundary
Nicola Soave, Susanna Terracini
We consider triplets of densities minimizing the Dirichlet energy \[\sum_{j=1}^3 \int_Ω |\nabla u_j|^2\,dx \] over a bounded domain , subject…
math.AP2024
On some singularly perturbed elliptic systems modeling partial segregation: uniform Hölder estimates and basic properties of the limits
Nicola Soave, Susanna Terracini
We prove uniform Hölder estimates in a class of singularly perturbed competition-diffusion elliptic systems, with the particular feature that the interactions between the component…