61 citations · 288 across the 42 of their papers we have counts for
49 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,…
Double phase meets Muckenhoupt
Daviti Adamadze, Lars Diening, Tengiz Kopaliani +1
In this paper we generalize the famous result of [FKS] to the double phase model. In particular, we work with minimal assumptions on the modulating coefficient by introducing a Muc…
Maximal operator on variable exponent spaces
Daviti Adamadze, Lars Diening, Tengiz Kopaliani
We explore the boundedness of the Hardy-Littlewood maximal operator on variable exponent spaces. Our findings demonstrate that the Muckenhoupt condition, in conjunction with Ne…
Pressure robust finite element discretizations of the nonlinear Stokes equations
Lars Diening, Adrian Hirn, Christian Kreuzer +1
We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with -structure. Thereby the velocity-errors are indepen…
Adaptive Mesh Refinement for arbitrary initial Triangulations
Lars Diening, Lukas Gehring, Johannes Storn
We introduce a simple initialization of the Maubach bisection routine for adaptive mesh refinement which applies to any conforming initial triangulation and terminates in linear ti…
Grading of Triangulations Generated by Bisection
Lars Diening, Johannes Storn, Tabea Tscherpel
For triangulations generated by the adaptive bisection algorithm by Maubach and Traxler we prove existence of a regularized mesh function with grading two. This sharpens previous r…