M. Fuchs

activity

20182026

most citedOn the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case

3 citations · 4 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.AP2026

Bernstein type results for stationary points of variational integrals with subquadratic growth in two dimensions

Michael Bildhauer, Martin Fuchs

We discuss entire solutions $u \in C^{2} (R^{2})$ of the equation $div (\nabla f (\nabla u)) = 0$ with strictly convex density $f : R^{2} \to R$ of s…

math.AP2026

Bernstein's theorem for variational integrals of linear growth and radial structure

Martin fuchs, Michael Bildhauer

We consider entire solutions $u : R^{2} \to R$ of the Euler-Lagrange equation associated to the variational integral $\int_{Ω} g (∣\nabla u ∣) d x$ with a strict…

math.AP2026

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 $J [u] = \int_{Ω} f (\nabla u) d x$ with density $f$ of linear growth satisfying appropriate ellipticity conditions.…