34 citations · 172 across the 30 of their papers we have counts for
4 papers · 1 filter
Gradient integrability for bounded -minimizers
Lisa Beck, Ferdinand Eitler, Franz Gmeineder
We establish that locally bounded relaxed minimizers of degenerate elliptic symmetric gradient functionals on have weak gradients in $\mathrm{L}_{\mathrm{loc}}^{1}…
Extensions of divergence-free fields in -based function spaces
Franz Gmeineder, Stefan Schiffer
We establish the first extension results for divergence-free (or solenoidal) elements of -based function spaces. Here, the key point is to preserve the solenoidalit…
The Biot stress -- right stretch relation for the compressible Neo-Hooke-Ciarlet-Geymonat model and Rivlin's cube problem
Ionel-Dumitrel Ghiba, Franz Gmeineder, Sebastian Holthausen +2
The aim of the paper is to recall the importance of the study of invertibility and monotonicity of stress-strain relations for investigating the non-uniqueness and bifurcation of h…
Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities
Franz Gmeineder, Peter Lewintan, Jean Van Schaftingen
We give sharp conditions for the limiting Korn-Maxwell-Sobolev inequalities \begin{align*} \lVert P\rVert_{\dot{W}{^{k-1,\frac{n}{n-1}}}(\mathbb{R}^n)}\le c\big(\lVert\mathscr{A}[P…