3 citations · 5 across the 9 of their papers we have counts for
13 papers
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…
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…
-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…
A boundary regularity result for minimizers of variational integrals with nonstandard growth
Miroslav Bulíček, Erika Maringová, Bianca Stroffolini +1
We prove global Lipschitz regularity for a wide class of convex variational integrals among all functions in with prescribed (sufficiently regular) boundary values, which…
On the Lipschitz character of orthotropic harmonic functions
Pierre Bousquet, Lorenzo Brasco, Chiara Leone +1
We prove that local weak solutions of the orthotropic harmonic equation are locally Lipschitz, for every and in every dimension. More generally, the result holds true…
Existence and regularity results for weak solutions to -elliptic systems in divergence form
Miroslav Bulíček, Giovanni Cupini, Bianca Stroffolini +1
We prove existence and regularity results for weak solutions of non linear elliptic systems with non variational structure satisfying -growth conditions. In particular we ar…
Parabolic Lipschitz truncation and Caloric Approximation
L. Diening, S. Schwarzacher, B. Stroffolini +1
We develop an improved version of the parabolic Lipschitz truncation, which allows qualitative control of the distributional time derivative and the preservation of zero boundary v…
Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals
Lorenzo Brasco, Chiara Leone, Giovanni Pisante +1
We prove higher differentiability of bounded local minimizers to some widely degenerate functionals, verifying superquadratic anisotropic growth conditions. In the two dimensional…
Partial Regularity Results for Asymptotic Quasiconvex Functionals with General Growth
Teresa Isernia, Chiara Leone, Anna Verde
We prove partial regularity for minimizers of vectorial integrals of the Calculus of Variations, with general growth condition, imposing quasiconvexity assumptions only in an asymp…
Partial regularity for minimizers of quasiconvex functionals with general growth
Lars Diening, Daniel Lengeler, Bianca Stroffolini +1
We prove a partial regularity result for local minimizers of quasiconvex variational integrals with general growth. The main tool is an improved A-harmonic approximation, which sho…