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20162026
most citedA distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up

77 citations · 285 across the 27 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.FA2022★ 3 cited

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…

math.MG2022★ 13 cited

The Cheeger problem in abstract measure spaces

Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco +1

We consider non-negative -finite measure spaces coupled with a proper functional that plays the role of a perimeter. We introduce the Cheeger problem in this framework and e…

math.FA2022★ 9 cited

Failure of the local chain rule for the fractional variation

Giovanni E. Comi, Giorgio Stefani

We prove that the local version of the chain rule cannot hold for the fractional variation defined in arXiv:1809.08575. In the case , we prove a stronger result, exhibiting…

math.AP2022★ 5 cited

On Double Hölder Regularity of the Hydrodynamic Pressure in Bounded Domains

Luigi De Rosa, Mickaël Latocca, Giorgio Stefani

We prove that the hydrodynamic pressure associated to the velocity , , of an inviscid incompressible fluid in a bounded and simply connected domain $Ω\s…

math.AP2022★ 7 cited

Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces

Luigi De Rosa, Marco Inversi, Giorgio Stefani

In the class of admissible weak solutions, we prove a weak-strong uniqueness result for the incompressible Euler equations assuming that the symmetric part of the gradient belongs…