4 papers · 1 filter
Relaxation of quasi-convex functionals with variable exponent growth
Giacomo Bertazzoni, Petteri Harjulehto, Peter Hästö +1
We prove a relaxation result for a quasi-convex bulk integral functional with variable exponent growth in a suitable space of bounded variation type. A key tool is a decomposition…
Functions of bounded Musielak-Orlicz-type deformation and anisotropic Total Generalized Variation for image-denoising problems
Giacomo Bertazzoni, Elisa Davoli, Samuele Riccò +1
In the first part of this paper we introduce the space of bounded deformation fields with generalized Orlicz growth. We establish their main properties, provide a modular represent…
Homogenization of non-local integral functionals via two-scale Young measures
Giacomo Bertazzoni, Andrea Torricelli, Elvira Zappale
We prove a homogenization result in terms of two-scale Young measures for non-local integral functionals. The result is obtained by means of a characterization of two-scale Young m…
Approximation of functionals with generalized Orlicz norms
Giacomo Bertazzoni, Michela Eleuteri, Elvira Zappale
The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. -convergence results and related representation t…