M. Bildhauer

activity

20122026

most citedLiouville-type theorems for steady flows of degenerate power law fluids in the plane

20 citations · 28 across the 16 of their papers we have counts for

collaborators

23 papers

math.AP2026

The Liouville property for entire local minimizers from the space $B V_{loc} (R^{2}, R^{N})$ of variational integrals with linear growth

Michael Bildhauer, Martin Fuchs

We consider functions $u : R^{2} \to R^{N}$ from the class $\Bloc$ which locally minimize the relaxed version of a variational integral with a strictly convex density being i…

math.AP2026

Calabi-Bernstein type theorems for entire solutions of certain nonlinear elliptic equations in the plane

Michael Bildhauer, Martin Fuchs

We provide some extensions of the classical Calabi-Bernstein theorem to the case of entire solutions of certain nonlinear elliptic equations in two variables. Using an appropriate…

math.AP2026

Giaquinta's example revisited: the Liouville property for a class of nonuniformly elliptic equations in low dimensions

Michael Bildhauer, Martin Fuchs

We consider entire solutions $u$ : $R^{n} \to R$ , $n \geq 2$ , of the equation $div (\nabla f (\nabla u)) = 0$ with convex density $f$ : $\mathbb{R…

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.…

The Liouville property for entire local minimizers from the space BVloc​(R2,RN) of variational integrals with linear growth

Calabi-Bernstein type theorems for entire solutions of certain nonlinear elliptic equations in the plane

Giaquinta's example revisited: the Liouville property for a class of nonuniformly elliptic equations in low dimensions

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

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

Uniqueness and boundary behaviour of solutions to variational problems with linear growth

The Liouville property for entire local minimizers from the space $B V_{loc} (R^{2}, R^{N})$ of variational integrals with linear growth