Maximal Sobolev regularity of the stress tensor for the symmetric gradient p-Laplace system
Analysis of PDEs
2026-03-19 v1
Abstract
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, second-order differentiability properties of solutions to the symmetric -Laplace system are established. They are formulated as maximal Sobolev regularity of the nonlinear stress tensor for locally square integrable right-hand sides.
Keywords
Cite
@article{arxiv.2603.17036,
title = {Maximal Sobolev regularity of the stress tensor for the symmetric gradient p-Laplace system},
author = {Linus Behn and Andrea Cianchi and Lars Diening and Fa Peng},
journal= {arXiv preprint arXiv:2603.17036},
year = {2026}
}