34 citations · 172 across the 30 of their papers we have counts for
5 papers · 1 filter
Regularity for the Dirichlet problem on BD
Franz Gmeineder
We establish that the Dirichlet problem for convex linear growth functionals on , the functions of bounded deformation, gives rise to the same unconditional Sobolev and partial…
Partial Regularity for BV Minimizers
Franz Gmeineder, Jan Kristensen
We establish an -regularity result for the derivative of a map of bounded variation that minimizes a strongly quasiconvex variational integral of linear growth, and, a…
Electro-rheological fluids under random influences: martingale and strong solutions
Dominic Breit, Franz Gmeineder
We study generalised Navier--Stokes equations governing the motion of an electro-rheological fluid subject to stochastic perturbation. Stochastic effects are implemented through (i…
On critical -differentiability of -maps
Franz Gmeineder, Bogdan Raita
We prove that functions of locally bounded deformation on are -differentiable almost everywhere. More generally, we show that this critical $\m…
On a Neumann problem for variational functionals of linear growth
Lisa Beck, Miroslav Bulíček, Franz Gmeineder
We consider a Neumann problem for strictly convex variational functionals of linear growth. We establish the existence of minimisers among -functions provid…