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math.AP2018
On the local boundedness of generalized minimizers of variational problems with linear growth
Michael Bildhauer, Martin Fuchs, Jan Mueller +1
We prove local boundedness of generalized solutions to a large class of variational problems of linear growth including boundary value problems of minimal surface type and models f…
math.AP2018
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…
math.AP2018
On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case
Michael Bildhauer, Martin Fuchs, Jan Mueller +1
We study classes of variational problems with energy densities of linear growth acting on vector-valued functions. Our energies are strictly convex variants of the TV-regularizatio…