87 citations · 190 across the 16 of their papers we have counts for
4 papers · 1 filter
-harmonic approximation and partial regularity, revisited
Matthias Bärlin, Franz Gmeineder, Christopher Irving +1
We give a direct harmonic approximation lemma for local minima of quasiconvex multiple integrals that entails their or -partial regularity.…
Quasiconvex functionals of -growth and the partial regularity of relaxed minimizers
Franz Gmeineder, Jan Kristensen
We establish -partial regularity results for relaxed minimizers of strongly quasiconvex functionals \begin{align*} \mathscr{F}[u;Ω]:=\int_ΩF(\nabla u)\,\mathrm…
Distortion of Hausdorff measures under Orlicz--Sobolev maps
Andrea Cianchi, Mikhail V. Korobkov, Jan Kristensen
A comprehensive theory of the effect of Orlicz-Sobolev maps, between Euclidean spaces, on subsets with zero or finite Hausdorff measure is offered. Arbitrary Orlicz-Sobolev spaces…
On the validity of the Euler-Lagrange system without growth assumptions
Lukas Koch, Jan Kristensen
The constrained minimisers of convex integral functionals of the form defined on Sobolev mappings $v\in \mathrm W^{k,1}_g(Ω, \mat…