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FINITENESS OF HIGHER CODIMENSIONAL DISJOINT MINIMAL GRAPHS
被引:0
作者
:
Dong Yuxin
论文数:
0
引用数:
0
h-index:
0
机构:
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Dong Yuxin
[
1
]
Ji Qingchun
论文数:
0
引用数:
0
h-index:
0
机构:
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Ji Qingchun
[
1
]
Zhang Wei
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Zhang Wei
[
2
]
机构
:
[1]
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2]
Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
来源
:
ACTA MATHEMATICA SCIENTIA
|
2010年
/ 30卷
/ 01期
关键词
:
area-decreasing;
volume estimate;
disjoint minimal graph;
D O I
:
暂无
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We estimate the number of disjoint open subsets in R-n, 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.
引用
收藏
页码:107 / 112
页数:6
相关论文
共 6 条
[1]
Li P, 2001, MATH RES LETT, V8, P771
[2]
The uniqueness of the helicoid
[J].
Meeks, WH
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Massachusetts, Amherst, MA 01003 USA
Univ Massachusetts, Amherst, MA 01003 USA
Meeks, WH
;
Rosenberg, H
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Massachusetts, Amherst, MA 01003 USA
Rosenberg, H
.
ANNALS OF MATHEMATICS,
2005,
161
(02)
:727
-758
[3]
Disjoint minimal graphs
[J].
Tkachev, Vladimir G.
论文数:
0
引用数:
0
h-index:
0
机构:
Royal Inst Technol, Stockholm, Sweden
Royal Inst Technol, Stockholm, Sweden
Tkachev, Vladimir G.
.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY,
2009,
35
(02)
:139
-155
[4]
Interior gradient bounds for solutions to the minimal surface system
[J].
Wang, MT
论文数:
0
引用数:
0
h-index:
0
机构:
Columbia Univ, Dept Math, New York, NY 10027 USA
Columbia Univ, Dept Math, New York, NY 10027 USA
Wang, MT
.
AMERICAN JOURNAL OF MATHEMATICS,
2004,
126
(04)
:921
-934
[5]
The Dirichlet problem for the minimal surface system in arbitrary dimensions and codimensions
[J].
Wang, MT
论文数:
0
引用数:
0
h-index:
0
机构:
Columbia Univ, Dept Math, New York, NY 10027 USA
Columbia Univ, Dept Math, New York, NY 10027 USA
Wang, MT
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
2004,
57
(02)
:267
-281
[6]
On graphic Bernstein type results in higher codimension
[J].
Wang, MT
论文数:
0
引用数:
0
h-index:
0
机构:
Columbia Univ, Dept Math, New York, NY 10027 USA
Columbia Univ, Dept Math, New York, NY 10027 USA
Wang, MT
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2003,
355
(01)
:265
-271
←
1
→
共 6 条
[1]
Li P, 2001, MATH RES LETT, V8, P771
[2]
The uniqueness of the helicoid
[J].
Meeks, WH
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Massachusetts, Amherst, MA 01003 USA
Univ Massachusetts, Amherst, MA 01003 USA
Meeks, WH
;
Rosenberg, H
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Massachusetts, Amherst, MA 01003 USA
Rosenberg, H
.
ANNALS OF MATHEMATICS,
2005,
161
(02)
:727
-758
[3]
Disjoint minimal graphs
[J].
Tkachev, Vladimir G.
论文数:
0
引用数:
0
h-index:
0
机构:
Royal Inst Technol, Stockholm, Sweden
Royal Inst Technol, Stockholm, Sweden
Tkachev, Vladimir G.
.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY,
2009,
35
(02)
:139
-155
[4]
Interior gradient bounds for solutions to the minimal surface system
[J].
Wang, MT
论文数:
0
引用数:
0
h-index:
0
机构:
Columbia Univ, Dept Math, New York, NY 10027 USA
Columbia Univ, Dept Math, New York, NY 10027 USA
Wang, MT
.
AMERICAN JOURNAL OF MATHEMATICS,
2004,
126
(04)
:921
-934
[5]
The Dirichlet problem for the minimal surface system in arbitrary dimensions and codimensions
[J].
Wang, MT
论文数:
0
引用数:
0
h-index:
0
机构:
Columbia Univ, Dept Math, New York, NY 10027 USA
Columbia Univ, Dept Math, New York, NY 10027 USA
Wang, MT
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
2004,
57
(02)
:267
-281
[6]
On graphic Bernstein type results in higher codimension
[J].
Wang, MT
论文数:
0
引用数:
0
h-index:
0
机构:
Columbia Univ, Dept Math, New York, NY 10027 USA
Columbia Univ, Dept Math, New York, NY 10027 USA
Wang, MT
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2003,
355
(01)
:265
-271
←
1
→