5 papers · 1 filter
-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…
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…