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math.FA2022★ 3 cited
Bounded variation spaces with generalized Orlicz growth related to image denoising
Michela Eleuteri, Petteri Harjulehto, Peter Hästö
Motivated by the image denoising problem and the undesirable stair-casing effect of the total variation method, we introduce bounded variation spaces with generalized Orlicz growth…
math.AP2022
Lipschitz regularity of minimizers of variational integrals with variable exponents
Michela Eleuteri, Antonia Passarelli di Napoli
In this paper we prove the Lipschitz regularity for local minimizers of convex variational integrals of the form \[ \mathfrak{F}( v, Ω)= \int_Ω \! F(x, Dv(x)) \, dx, \] where, for…