2 papers
math.AP2024
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…
math.AP2023
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…