Acta mathematica scientia, Series B >
FINITENESS OF HIGHER CODIMENSIONAL DISJOINT MINIMAL GRAPHS
Received date: 2007-12-30
Revised date: 2008-10-10
Online published: 2010-01-20
Supported by
The first author is supported by zhongdian grant of NSFC (A010501) and NSFC-NSF (1081112053) and the second author is supported by NSFC (10701025).
We estimate the number of disjoint open subsets in Rn, which can support area-decreasing minimal graphs. This result generalizes the related results of Li-Wang and Tkachev for minimal hypersurfaces to higher codimensional case.
Key words： area-decreasing; volume estimate; disjoint minimal graph
DONG Yu-Xin , JI Qing-Chun , ZHANG Wei . FINITENESS OF HIGHER CODIMENSIONAL DISJOINT MINIMAL GRAPHS[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 107 -112 . DOI: 10.1016/S0252-9602(10)60026-4
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