6 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\}…
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…
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…