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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★ 1 cited
A remark on the denoising of greyscale images using energy densities with varying growth rates
Martin Fuchs, Jan Mueller
We prove the solvability in Sobolev spaces for a class of variational problems related to the TV-model proposed by Rudin, Osher and Fatemi in [1] for the denoising of greyscale ima…
math.AP2018★ 3 cited
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…