6 papers
A regularity result for
Jakob Deutsch, Samuele Riccò
It is well known that distributions whose symmetrized gradient is a bounded Radon measure belong to the space on bounded domains with boundary. In this work, w…
Homogenization and linearization in magnetoelasticity under small elastic response
Mikhail Cherdantsev, Elisa Davoli, Lorenza D'Elia +1
We perform a simultaneous homogenization and linearization analysis for a magnetoelastic energy functional featuring a mixed Eulerian-Lagrangian structure. Neglecting Zeeman and an…
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…
Global higher integrability and Hardy inequalities for double-phase functionals under a capacity density condition
Fabian Bäuerlein, Samuele Riccò, Leah Kurki Schätzler +1
We prove global higher integrability for functionals of double-phase type under a uniform local capacity density condition on the complement of the considered domain $Ω\subset \mat…
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth
Samuele Riccò, Andrea Torricelli
Let us consider the autonomous obstacle problem \begin{equation*} \min_v \int_ΩF(Dv(x)) \, dx \end{equation*} on a specific class of admissible functions, where we suppose the Lagr…
Regularity for Obstacle Problems without Structure Conditions
Giacomo Bertazzoni, Samuele Riccò
This paper deals with the Lipschitz regularity of minimizers for a class of variational obstacle problems with possible occurance of the Lavrentiev phenomenon. In order to overcome…