Author

Franz Gmeineder

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Preprint Sep 2026

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

We establish that the ellipticity of the minimal surface integrand is the sharp threshold for $\mathrm{W}^{1,1}$-regularity of solutions to the Dirichlet problem on $\mathrm{BV}$. Here, we particularly deal with the autonomous case of convex linear growth functionals.

Franz Gmeineder · 0 citations