5 papers
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…
Relaxation of nonlinear elastic energies related to Orlicz-Sobolev nematic elastomers
Giovanni Scilla, Bianca Stroffolini
We compute the relaxation of the total energy related to a variational model for nematic elastomers, involving a nonlinear elastic mechanical energy depending on the orientation of…
Orlicz-Sobolev nematic elastomers
Duvan Henao, Bianca Stroffolini
We extend the existence theorems in [Barchiesi, Henao \& Mora-Corral; ARMA 224], for models of nematic elastomers and magnetoelasticity, to a larger class in the scale of Orlicz sp…
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…