Showing math.APShow all
3 papers · 1 filter
math.AP2024
Higher differentiability for the fractional -Laplacian
Lars Diening, Kyeongbae Kim, Ho-Sik Lee +1
In this work, we study the higher differentiability of solutions to the inhomogeneous fractional -Laplace equation under different regularity assumptions on the data. In the sup…
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
Calderón-Zygmund estimates for the fractional -Laplacian
Lars Diening, Simon Nowak
We prove fine higher regularity results of Calderón-Zygmund-type for equations involving nonlocal operators modelled on the fractional -Laplacian with possibly discontinuous coe…