17 citations · 36 across the 28 of their papers we have counts for
5 papers · 1 filter
Beyond : new pairings and Gauss-Green formulas for measure fields with divergence measure
Giovanni Eugenio Comi, Virginia De Cicco, Giovanni Scilla
A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular…
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…