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math.AP2023
On the Shape of Small Liquid Drops Minimizing Nonlocal Energies
Konstantinos Bessas, Matteo Novaga, Fumihiko Onoue
We study the equilibrium shape of liquid drops minimizing the fractional perimeter under the action of a potential energy. We prove, with a quantitative estimate, that the small vo…
math.AP2021★ 1 cited
Fractional total variation denoising model with fidelity
Konstantinos Bessas
We study a nonlocal version of the total variation-based model with fidelity for image denoising, where the regularizing term is replaced with the fractional -total variat…