5 citations · 5 across the 11 of their papers we have counts for
11 papers · 1 filter
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…