Franz Gmeineder

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20162026

most citedPartial Regularity for BV Minimizers

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

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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.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 Sharp Ellipticity Threshold for W1,1-Regularity

Non-uniformly elliptic variational problems on BV

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