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PreprintCC0arXiv

Remarks on the disjoint minimal graphs conjecture

Abstract

It is known that there can be at most 3 disjoint nontrivial minimal graphs in R^3 with 0 boundary values, and conjectured that there can be at most 2. We explore properties that the graphs would have if there were 3.

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BibTeX
@misc{weitsman2026remarks,
  title = {{Remarks on the disjoint minimal graphs conjecture}},
  author = {Allen Weitsman},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15736},
  eprint = {2610.15736},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15736},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Remarks on the disjoint minimal graphs conjecture
AU  - Allen Weitsman
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15736
UR  - https://arxiv.org/abs/2610.15736
AB  - It is known that there can be at most 3 disjoint nontrivial minimal graphs in R^3 with 0 boundary values, and conjectured that there can be at most 2. We explore properties that the graphs would have if there were 3.
ER  -