3 citations · 3 across the 2 of their papers we have counts for
12 papers
Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems
Michael Bildhauer, Martin Fuchs
Using a variant of Caccioppoli's inequality involving small weights, i.e. weights of the form for some , we establish several Liouville-type theorem…
Liouville-type results in two dimensions for stationary points of functionals with linear growth
Michael Bildhauer, Martin Fuchs
We consider variational integrals of linear growth satisfying the condition of -ellipticity for some exponent and prove that stationary points : $\mathbb{R}^2 \to \math…
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…