5 citations · 5 across the 11 of their papers we have counts for
12 papers
Stochastic homogenization of nonconvex unbounded integral functionals with generalized Orlicz growth
Davide Aruta, Francesca Prinari, Francesco Solombrino
We consider the homogenization of random integral functionals which are possibly unbounded, that is, the domain of the integrand is not the whole space and may depend on the space-…
Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth
Chiara Leone, Giovanni Scilla, Francesco Solombrino +1
The optimal local Lipschitz regularity for scalar almost-minimizers of Alt-Caffarelli-type functionals $$ \mathcal{F}({v}; Ω) = \int_Ωφ(x,\left|\nabla v(x) \right|)+ λχ_{\{{v} >0\}…
Strong existence for free-discontinuity problems with non-standard growth
Chiara Leone, Giovanni Scilla, Francesco Solombrino +1
An Ahlfors-type regularity result for free-discontinuity energies defined on the space of special functions of bounded variation with -growth, where is a generalized…
Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems
Filippo Riva, Giovanni Scilla, Francesco Solombrino
A suitable notion of weak solution to infinite-dimensional rate-independent systems, called Inertial Balanced Viscosity (IBV) solution, is introduced. The key feature of such notio…
Regularity of minimizers for free-discontinuity problems with -growth
Chiara Leone, Giovanni Scilla, Francesco Solombrino +1
A regularity result for free-discontinuity energies defined on the space of special functions of bounded variation with variable exponent is proved, under the assu…
Integral representation and -convergence for free-discontinuity problems with -growth
Giovanni Scilla, Francesco Solombrino, Bianca Stroffolini
An integral representation result for free-discontinuity energies defined on the space of generalized special functions of bounded variation with variable exponen…
On some non-local approximation of nonisotropic Griffith-type functionals
Fernando Farroni, Giovanni Scilla, Francesco Solombrino
The approximation in the sense of -convergence of nonisotropic Griffith-type functionals, with growth () in the symmetrized gradient, by means of a suitable sequence of…
Non-local approximation of the Griffith functional
Giovanni Scilla, Francesco Solombrino
An approximation, in the sense of -convergence and in any dimension , of Griffith-type functionals, with growth () in the symmetrized gradient, is provided by m…
A derivation of Griffith functionals from discrete finite-difference models
Vito Crismale, Giovanni Scilla, Francesco Solombrino
We analyze a finite-difference approximation of a functional of Ambrosio-Tortorelli type in brittle fracture, in the discrete-to-continuum limit. In a suitable regime between the c…
A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension
Giovanni Scilla, Francesco Solombrino
In this paper we study the vanishing inertia and viscosity limit of a second order system set in an Euclidean space, driven by a possibly nonconvex time-dependent potential satisfy…
Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach
Giovanni Scilla, Francesco Solombrino
We perform a convergence analysis of a discrete-in-time minimization scheme approximating a finite dimensional singularly perturbed gradient flow. We allow for different scalings b…
Delayed loss of stability in singularly perturbed finite-dimensional gradient flows
Giovanni Scilla, Francesco Solombrino
In this paper we study the singular vanishing-viscosity limit of a gradient flow in a finite dimensional Hilbert space, focusing on the so-called delayed loss of stability of stati…