34 citations · 172 across the 30 of their papers we have counts for
6 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.…
Korn-Maxwell-Sobolev inequalities for general incompatibilities
Franz Gmeineder, Peter Lewintan, Patrizio Neff
We establish a family of coercive Korn-type inequalities for generalised incompatible fields in the superlinear growth regime under sharp criteria. This extends and unifies several…
Boundary ellipticity and limiting -estimates on halfspaces
Franz Gmeineder, Bogdan Raiţă, Jean Van Schaftingen
We identify necessary and sufficient conditions on th order differential operators in terms of a fixed halfspace such that the Gagliardo--N…
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…
Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions
Franz Gmeineder, Peter Lewintan, Patrizio Neff
We characterise all linear maps such that, for , \begin{align*} \|P\|_{L^{p^{*}}(\mathbb{R}^{n})}\leq…
Natural annihilators and operators of constant rank over
Franz Gmeineder, Stefan Schiffer
Even if the Fourier symbols of two constant rank differential operators have the same nullspace for each non-trivial phase space variable, the nullspaces of those differential oper…