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math.AP2023
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…
math.AP2023
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…
math.AP2012
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…