4 papers
A Liouville theorem for stationary incompressible fluids of von Mises type
Martin Fuchs, Jan Mueller
We consider entire solutions of the equations describing the stationary flow of a generalized Newtonian fluid in 2D concentrating on the question, if a Liouville-type result ho…
Convex Regularization of Multi-Channel Images Based on Variants of the TV-Model
Martin Fuchs, Jan Mueller, Christian Tietz +1
We discuss existence and regularity results for multi-channel images in the setting of isotropic and anisotropic variants of the TV-model.
A reciprocity principle for constrained isoperimetric problems and existence of isoperimetric subregions in convex sets
Michael Bildhauer, Martin Fuchs, Jan Mueller
It is a well known fact that in a subset of minimal perimeter among all sets of a given volume is also a set of maximal volume among all sets of the same perimet…
Coupled variational problems of linear growth related to the denoising and inpainting of images
Jan Mueller
In this note we present some results that were already conjectured in the work [9] by Bildhauer, Fuchs and Weickert, where they have investigated analytical aspects of coupled vari…