6 papers
Maximal Sobolev regularity of the stress tensor for the symmetric gradient p-Laplace system
Linus Behn, Andrea Cianchi, Lars Diening +1
The symmetric -Laplace operator enters various models in mathematical physics, such as incompressible materials with power-type hardening and non-Newtonian fluids. In this work,…
Examples of -harmonic maps
Anna Balci, Linus Behn, Lars Diening +1
We construct explicit examples of -harmonic maps . These are more irregular than the previously known examples and thus provide new upper bounds…
Nonlocal equations with degenerate weights
Linus Behn, Lars Diening, Jihoon Ok +1
We introduce fractional weighted Sobolev spaces with degenerate weights. For these spaces we provide embeddings and Poincaré inequalities. When the order of fractional differentiab…
The De Giorgi method for local and nonlocal systems
Linus Behn, Lars Diening, Simon Nowak +1
We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application…
Global regularity for nonlinear systems with symmetric gradients
Linus Behn, Lars Diening
We study global regularity of nonlinear systems of partial differential equations depending on the symmetric part of the gradient with Dirichlet boundary conditions. These systems…
On symmetric div-quasiconvex hulls and divsym-free -truncations
Linus Behn, Franz Gmeineder, Stefan Schiffer
We establish that for any non-empty, compact set the - and -symmetric div-quasiconvex hulls and …