3 citations · 3 across the 2 of their papers we have counts for
5 papers
Variational problems of splitting-type with mixed linear-superlinear growth conditions
Michael Bildhauer, Martin Fuchs
Variational problems of splitting-type with mixed linear-superlinear growth conditions are considered. In the twodimensional case the minimizing problem is given by \[ J [w] = \int…
Splitting-type variational problems with linear growth conditions
Michael Bildhauer, Martin Fuchs
Regularity properties of solutions to variational problems are established for a broad class of strictly convex splitting-type energy densities of the principal form : $\mathbb{…
On a class of variational problems with linear growth and radial symmetry
Michael Bildhauer, Martin Fuchs
We discuss variational problems on two-dimensional domains with energy densities of linear growth and with radially symmetric data. The smoothness of generalized minimizers is esta…
Existence results for generalized EED denoising problems
Michael Bildhauer, Martin Fuchs
The joint work of the authors with Marcelo Cárdenas and Joachim Weickert \cite{BCFW:2019_1} on edge-enhancing diffusion inpainting problems leads to the analysis of related denoisi…
Existence Theory for the EED Inpainting Problem
Michael Bildhauer, Marcelo Cárdenas, Martin Fuchs +1
We establish an existence theory for an elliptic boundary value problem in image analysis known as edge-enhancing diffusion (EED) inpainting. The EED inpainting problem aims at res…