On the non-existence of solutions of the Dirichlet problem for the minimal surface system
Differential Geometry
2026-05-12 v7 Analysis of PDEs
Abstract
In this paper we study the non-existence of solutions to the Dirichlet problem for minimal graphs of codimension , including certain situations over domain even with non- boundary .
Keywords
Cite
@article{arxiv.1812.11553,
title = {On the non-existence of solutions of the Dirichlet problem for the minimal surface system},
author = {Yongsheng Zhang},
journal= {arXiv preprint arXiv:1812.11553},
year = {2026}
}
Comments
21 pages, 5 figures. Expand with a subsection about domains involving non-$C^1$ boundaries