4 citations · 17 across the 26 of their papers we have counts for
26 papers · 1 filter
Lipschitz regularity for orthotropic functionals with general growth
Mikyoung Lee, Jihoon Ok, Bianca Stroffolini
We study the local Lipschitz regularity of local minimizers for a class of degenerate orthotropic functionals with -growth, where is a general N-function. Unlike standard is…
The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics. Part~{II}: Refined structure of the energy-concentration set
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
In this paper, we continue our study, started in~\cite{CDS1}, of a two-dimensional variational model for ferronematics -- composite materials formed by dispersing magnetic nanopart…
Liftings of Sobolev maps into closed Riemannian manifolds via double coverings and minimal connections relative to planar sets, with an application to ferronematics
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
We consider Sobolev maps from a planar domain into a closed Riemannian manifold and their BV liftings via a double covering of the target. We establish a sharp lower bound on the j…
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}{…
The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics. Part~I: Energy estimates and compactness results
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
We study a two-dimensional variational model for ferronematics -- composite materials formed by dispersing magnetic nanoparticles into a liquid crystal matrix. The model features t…
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…
Variational Dual Solutions for Incompressible Fluids
Amit Acharya, Bianca Stroffolini, Arghir Zarnescu
We consider a construction proposed in \cite{acharyaQAM} that builds on the notion of weak solutions for incompressible fluids to provide a scheme that generates variationally a ce…
Quasistatic evolution of Orlicz-Sobolev nematic elastomers
Marco Bresciani, Bianca Stroffolini
We investigate the variational model for nematic elastomer proposed by Barchiesi and DeSimone with the director field defined on the deformed configuration under general growth con…
Manifold-constrained free discontinuity problems and Sobolev approximation
Federico Luigi Dipasquale, Bianca Stroffolini
We study the regularity of local minimisers of a prototypical free-discontinuity problem involving both a manifold-valued constraint on the maps (which are defined on a bounded dom…
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…
Internal Schauder estimates for Hörmander type equations with Dini continuous source
Giovanna Citti, Bianca Stroffolini
We study the regularity properties of a general second order Hörmander operator with Dini continous coefficients . Precisely if are smooth self adjoin…
KFP operators with coefficients measurable in time and Dini continuous in space
Stefano Biagi, Marco Bramanti, Bianca Stroffolini
We consider degenerate KFP operators \[ Lu=\sum_{i,j=1}^{m_{0}}a_{ij}(x,t)\partial_{x_{i}x_{j}}^{2}u+\sum_{k,j=1}^{N}b_{jk}x_{k}\partial_{x_{j}}u-\partial_{t}u\equiv\sum_{i,j=1}^{m…
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…
A free discontinuity model for smectic thin films
John M. Ball, Giacomo Canevari, Bianca Stroffolini
We attempt to describe surface defects in smectic A thin films by formulating a free discontinuity problem - that is, a variational problem in which the order parameter is allowed…
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.
Two-dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections
Giacomo Canevari, Apala Majumdar, Bianca Stroffolini +1
We study a variational model for ferronematics in two-dimensional domains, in the "super-dilute" regime. The free energy functional consists of a reduced Landau-de Gennes energy fo…
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…
Singular multiple integrals and nonlinear potentials
Cristiana De Filippis, Bianca Stroffolini
We prove sharp partial regularity criteria of nonlinear potential theoretic nature for the Lebesgue-Serrin-Marcellini extension of nonhomogeneous singular multiple integrals featur…
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}…
Convergence of Natural -Means for the -Laplacian in the Heisenberg Group
András Domokos, Juan J. Manfredi, Diego Ricciotti +1
In this paper we prove uniform convergence of approximations to -harmonic functions by using natural -mean operators on bounded domains of the Heisenberg group w…
Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients
Sergio Polidoro, Annalaura Rebucci, Bianca Stroffolini
We study the regularity properties of the second order linear operator in : \begin{equation*} \mathscr{L} u := \sum_{j,k= 1}^{m} a_{jk}\partial_{x_j x_k}^2 u + \s…
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…
Minimizers of a Landau-de Gennes Energy with a Subquadratic Elastic Energy
Giacomo Canevari, Apala Majumdar, Bianca Stroffolini
We study a modified Landau-de Gennes model for nematic liquid crystals, where the elastic term is assumed to be of subquadratic growth in the gradient. We analyze the behaviour of…
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…