Co-dimension one area-minimizing currents with $C^{1,\alpha }$ tangentially immersed boundary having Lipschitz co-oriented mean curvature

Leobardo Rosales

We study $n$-dimensional area-minimizing currents $T$ in ${\mathbb{R}}^{n+1},$ with boundary $\partial T$ satisfying two properties: $\partial T$ is locally a finite sum of $(n-1)$-d…