Franz Gmeineder

activity

20162026

most citedPartial Regularity for BV Minimizers

34 citations · 172 across the 30 of their papers we have counts for

collaborators

Showing 2026Show all

4 papers · 1 filter

math-ph2026

The Isoperimetric Flow and Synthetic Scalar Curvature for Causal Variational Principles

Felix Finster, Franz Gmeineder, Margarita Kraus

An isoperimetric flow is introduced in the setting of causal variational principles. Describing the whole space by the support of a minimizing measure, we define an area functional…

math.AP2026

The Sharp Ellipticity Threshold for $W^{1, 1}$ -Regularity

Franz Gmeineder

We establish that the ellipticity of the minimal surface integrand is the sharp threshold for $W^{1, 1}$ -regularity of solutions to the Dirichlet problem on $BV$ .…

math.FA2026

Traces of Sobolev functions and higher integrability

Robert Denk, Franz Gmeineder, Paul Stephan

We give a sharp characterization of how additional integrability in the interior improves the integrability of boundary traces of $W^{1, p}$ -Sobolev functions. The optimali…

math.AP2026

Non-uniformly elliptic variational problems on BV

Lisa Beck, Franz Gmeineder, Mathias Schäffner

We establish $W^{1, 1}$ -regularity and higher gradient integrability for relaxed minimizers of convex integral functionals on $BV$ . Unlike classical examples such…

The Isoperimetric Flow and Synthetic Scalar Curvature for Causal Variational Principles

The Sharp Ellipticity Threshold for W1,1-Regularity

Traces of Sobolev functions and higher integrability

Non-uniformly elliptic variational problems on BV

The Sharp Ellipticity Threshold for $W^{1, 1}$ -Regularity