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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…