| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8898545 | Journal of Differential Equations | 2018 | 6 Pages |
Abstract
We show that there are minimal graphs in Rn+1 whose intersection with the portion of the horizontal hyperplane contained in the unit ball has any prescribed geometry, up to a small deformation. The proof hinges on the construction of minimal graphs that are almost flat but have small oscillations whose geometry we can control.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alberto Enciso, Ma Ángeles GarcÃa-Ferrero, Daniel Peralta-Salas,