摘要
One of the main objectives of this paper is to unravel a new interesting phenomenon of the sub-Riemannian Bernstein problem with respect to its Euclidean ancestor, with the purpose of also indicating a possible line of attack toward its solution. We show that the global intrinsic graphs (1.2) are unstable critical points of the horizontal perimeter. As a consequence of this fact, the study of the stability acquires a central position in the problem itself.
原文 | ???core.languages.en_GB??? |
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頁(從 - 到) | 317-339 |
頁數 | 23 |
期刊 | American Journal of Mathematics |
卷 | 130 |
發行號 | 2 |
DOIs | |
出版狀態 | 已出版 - 4月 2008 |