3 citations · 4 across the 7 of their papers we have counts for
7 papers
Bernstein type results for stationary points of variational integrals with subquadratic growth in two dimensions
Michael Bildhauer, Martin Fuchs
We discuss entire solutions of the equation with strictly convex density of s…
Bernstein's theorem for variational integrals of linear growth and radial structure
Martin fuchs, Michael Bildhauer
We consider entire solutions of the Euler-Lagrange equation associated to the variational integral with a strict…
Uniqueness and boundary behaviour of solutions to variational problems with linear growth
Michael Bildhauer, Martin Fuchs
We investigate the Dirichlet problem for the variational integral with density of linear growth satisfying appropriate ellipticity conditions.…
Variants of Bernstein's theorem for variational integrals with linear and nearly linear growth
Michael Bildhauer, Martin Fuchs
Using a Caccioppoli-type inequality involving negative exponents for a directional weight we establish variants of Bernstein's theorem for variational integrals with linear and nea…
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…
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…
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…