10 papers
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…
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…
Singular orthotropic functionals with nonstandard growth conditions
Pierre Bousquet, Lorenzo Brasco, Chiara Leone
We pursue the study of a model convex functional with orthotropic structure and nonstandard growth conditions, this time focusing on the sub-quadratic case. We prove that bounded l…
-caloric approximation and partial regularity for parabolic systems with Orlicz growth
Mikil Foss, Teresa Isernia, Chiara Leone +1
We prove a new -caloric approximation lemma compatible with an Orlicz setting. With this result, we establish a partial regularity result for parabolic systems of the…
Partial regularity result for non-autonomous elliptic systems with general growth
Teresa Isernia, Chiara Leone, Anna Verde
In this paper we prove a Hölder partial regularity result for weak solutions , , to non-autonomous elliptic systems with general growth of the type: \…
Gradient estimates for an orthotropic nonlinear diffusion equation
Pierre Bousquet, Lorenzo Brasco, Chiara Leone +1
We consider a quasilinear degenerate parabolic equation driven by the orthotropic Laplacian. We prove that local weak solutions are locally Lipschitz continuous in the spatial…