12 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…
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…
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…
Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces
Michela Eleuteri, Luca Lussardi, Andrea Torricelli +1
We study simultaneous homogenization and dimensional reduction of integral functionals for maps in manifold-valued Sobolev spaces. Due to the superlinear growth regime, we prove th…
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…
(Two-scale) -gradient Young measures and homogenization of integral functionals in Orlicz-Sobolev spaces
Joel Fotso Tachago, Hubert Nnang, Franck Tchinda +1
(Two-scale) gradient Young measures in Orlicz-Sobolev setting are introduced and characterized providing also an integral representation formula for non convex energies arising in…
Measure structured deformations
stefan Krömer, Martin Kružík, Marco Morandotti +1
Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via r…
Homogenization of supremal functionals in the vectorial case (via -approximation)
Lorenza D'Elia, Michela Eleuteri, Elvira Zappale
We propose a homogenized supremal functional rigorously derived via -approximation by functionals of the type $\underset{x\inΩ}{\mbox{ess-sup}}\hspace{0.03cm} f\left(\frac{x}{…
Revisited convexity notions for variational problems
Ana Margarida Ribeiro, Elvira Zappale
We address a deep study of the convexity notions that arise in the study of weak* lower semicontinuity of supremal functionals as well as those raised by the power-law approximatio…