M. Bildhauer

activity

20182026

most citedOn a class of variational problems with linear growth and radial symmetry

3 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AP2021

Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems

Michael Bildhauer, Martin Fuchs

Using a variant of Caccioppoli's inequality involving small weights, i.e. weights of the form $(1 + ∣\nabla u ∣^{2})^{- α /2}$ for some $α > 0$ , we establish several Liouville-type theorem…

math.AP2021

Some geometric properties of nonparametric $μ$ -surfaces in $R^{3}$

Michael Bildhauer, Matin Fuchs

Smooth solutions of the equation \[ \rm{div}\, \Bigg\{ \frac{g'\big(|\nabla u|\big)}{|\nabla u|} \nabla u \Bigg\} = 0 \] are considered generating nonparametric $μ$ -surfaces in $\m…

math.AP2021

Liouville-type results in two dimensions for stationary points of functionals with linear growth

Michael Bildhauer, Martin Fuchs

We consider variational integrals of linear growth satisfying the condition of $μ$ -ellipticity for some exponent $μ > 1$ and prove that stationary points $u$ : $\mathbb{R}^2 \to \math…

Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems

Some geometric properties of nonparametric μ-surfaces in R3

Liouville-type results in two dimensions for stationary points of functionals with linear growth

Some geometric properties of nonparametric $μ$ -surfaces in $R^{3}$