M. Fuchs

collaborators

3 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…

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

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