17 citations · 36 across the 28 of their papers we have counts for
24 papers · 1 filter
Partial regularity for parabolic systems of double phase type
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We study partial regularity for nondegenerate parabolic systems of double phase type, where the growth function is given by , , with $\tfrac{2n}{…
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\}…
Partial regularity for degenerate systems of double phase type
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We study partial regularity for degenerate elliptic systems of double-phase type, where the growth function is given by with and a nonnegati…
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…
Partial regularity for degenerate parabolic systems with general growth via caloric approximations
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We establish a partial regularity result for solutions of parabolic systems with general -growth, where is an Orlicz function. In this setting we can develop a unified appro…
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…
Regularity theory for parabolic systems with Uhlenbeck structure
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We establish local regularity theory for parabolic systems of Uhlenbeck type with -growth. In particular, we prove local boundedness of weak solutions and their gradient, and th…
Partial regularity for steady double phase fluids
Giovanni Scilla, Bianca Stroffolini
We study partial Hölder regularity for nonlinear elliptic systems in divergence form with double-phase growth, modeling double-phase non-Newtonian fluids in the stationary case.
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…
Lower semicontinuity in for nonautonomous surface integrals
Virginia De Cicco, Giovanni Scilla
We provide a sufficient condition for lower semicontinuity of nonautonomous noncoercive surface energies defined on the space of functions, whose dependence on the -var…
The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems
Filippo Riva, Giovanni Scilla, Francesco Solombrino
The notion of Inertial Balanced Viscosity (IBV) solution to rate-independent evolutionary processes is introduced. Such solutions are characterized by an energy balance where a sui…
Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We prove the partial Hölder continuity on boundary points for minimizers of quasiconvex non-degenerate functionals \begin{equation*} \mathcal{F}({\bf u}) \colon =\int_Ω f(x,{\bf u}…
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…
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
Christopher Goodrich, Giovanni Scilla, Bianca Stroffolini
We prove the partial Hölder continuity for minimizers of quasiconvex functionals \[ \mathcal{F}({\bf u}) \colon =\int_Ω f(x,{\bf u},D{\bf u})\,\mathrm{d}x, \] where satisfies a…
Nucleation and growth of lattice crystals
Andrea Braides, Giovanni Scilla, Antonio Tribuzio
A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete leve…
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…
Motion of discrete interfaces on the triangular lattice
Giovanni Scilla
We study the motion of discrete interfaces driven by ferromagnetic interactions on the two-dimensional triangular lattice by coupling the Almgren, Taylor and Wang minimizing moveme…
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…
Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions
Giovanni Scilla, Valerio Vallocchia
We study chirality transitions in frustrated ferromagnetic spin chains, in view of a possible connection with the theory of Liquid Crystals. A variational approach to the study of…
Motion of discrete interfaces in periodic media
A. Braides, G. Scilla
We study the motion of discrete interfaces driven by ferromagnetic interactions in a two-dimensional periodic environment by coupling the minimizing movements approach by Almgren,…