A notable family of entire intrinsic minimal graphs in the heisenberg group which are not perimeter minimizing

D. Danielli, N. Garofalo, D. M. Nhieu

研究成果: 雜誌貢獻期刊論文同行評審

22 引文 斯高帕斯(Scopus)

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???
頁(從 - 到)317-339
頁數23
期刊American Journal of Mathematics
130
發行號2
DOIs
出版狀態已出版 - 4月 2008

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