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math.AP2026
Generic configurations in 2D strongly competing systems
Flavia Lanzara, Eugenio Montefusco, Vincenzo Nesi +1
The paper analyzes planar segregation models for many competing species and proves that, generically, the domain splits into regions meeting only at triple junctions, using harmoni…
math.AP2024
On the free boundary for thin obstacle problems with Sobolev variable coefficients
Giovanna Andreucci, Matteo Focardi, Emanuele Spadaro
We establish a quasi-monotonicity formula {for an intrinsic frequency function related to solutions to} thin obstacle problems with zero obstacle driven by quadratic energies with…