20 citations · 20 across the 3 of their papers we have counts for
3 papers
math.AP2012★ 20 cited
The Stokes and Poisson problem in variable exponent spaces
Lars Diening, Daniel Lengeler, Michael Ruzicka
We study the Stokes and Poisson problem in the context of variable exponent spaces. We prove the existence of strong and weak solutions for bounded domains with C^{1,1} boundary wi…
math.AP2012
Partial regularity for minimizers of quasiconvex functionals with general growth
Lars Diening, Daniel Lengeler, Bianca Stroffolini +1
We prove a partial regularity result for local minimizers of quasiconvex variational integrals with general growth. The main tool is an improved A-harmonic approximation, which sho…
math.AP2012
Global existence for the interaction of a Navier-Stokes fluid with a linearly elastic shell
Daniel Lengeler
In my PhD thesis I show the existence of global-in-time weak solutions for a Navier-Stokes fluid interacting with a linearly elastic shell of Koiter type. This is achieved by the i…