Lisa Beck

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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…

math.AP2024

Gradient integrability for bounded $BD$ -minimizers

Lisa Beck, Ferdinand Eitler, Franz Gmeineder

We establish that locally bounded relaxed minimizers of degenerate elliptic symmetric gradient functionals on $BD (Ω)$ have weak gradients in $\mathrm{L}_{\mathrm{loc}}^{1}…

Non-uniformly elliptic variational problems on BV

Gradient integrability for bounded BD-minimizers

Gradient integrability for bounded $BD$ -minimizers