3 citations · 4 across the 5 of their papers we have counts for
5 papers
Generalized BMO-type seminorms and vector-valued Sobolev functions
Konstantinos Bessas, Serena Guarino Lo Bianco, Roberta Schiattarella
We establish a pointwise limit theorem for a broad class of pa\-ra\-me\-ter-\-de\-pen\-dent BMO-type seminorms as the parameter tends to zero. By introducing novel BMO-type seminor…
A note on non-local Sobolev spaces and non-local perimeters
Konstantinos Bessas, Giuseppe Cosma Brusca
We investigate the space of non-local Sobolev functions associated with an integral kernel. We prove an extension result, Sobolev and Poincaré inequalities and an isoperimetric ine…
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…
Non-local functions and a denoising model with fidelity
Konstantinos Bessas, Giorgio Stefani
We study a general total variation denoising model with weighted fidelity, where the regularizing term is a non-local variation induced by a suitable (non-integrable) kernel…
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…