M. Bildhauer

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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 $\int_{I^} c ◯ g (∣\nabla u ∣) d x$ with a stric…

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