7 papers
Homogenization and integral representation of energy functionals in manifold valued Orlicz-Sobolev spaces
Joseph Dongho, Joel Fotso Tachago, Franck Tchinda +1
This paper aims to extend to Orlicz-Sobolev spaces some results of integral representation for the simultaneous homogenization and dimensional reduction of integral energies define…
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…
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…
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…
Relaxation of variational problems in the space of functions with bounded -variation: interaction with measures and lack of concentration phenomena
Lorenza D'Elia, Elvira Zappale
We prove an integral representation result for variational functionals in the space of functions with bounded -variation where denotes…
Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space
Luca Lussardi, Andrea Torricelli, Elvira Zappale
We study the simultaneous homogenization and dimension reduction of an energy functional with linear growth defined on the space of manifold valued Sobolev functions. The study is…