Explicit Determination in ${\mathbb{R}}^N$ of $(N-1)$-Dimensional Area Minimizing Surfaces with Arbitrary Boundaries

Harold R. Parks, Jon T. Pitts

Let $N\ge 3$ be an integer and $B$ be a smooth, compact, oriented, $(N-2)$-dimensional boundary in ${\mathbb{R}}^N$. In 1960, H. Federer and W. Fleming proved that there is an $(N-1)$…