On the non-existence of solutions of the Dirichlet problem for the minimal surface system

Abstract

In this paper we study the non-existence of solutions to the Dirichlet problem for minimal graphs of codimension $\ge 2$, including certain situations over domain $\hat{I}\text{c◯}$ even with non-$C^1$ boundary $\partial \hat{I}\text{c◯}$.

21 pages, 5 figures. Expand with a subsection about domains involving non-$C^1$ boundaries