Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system

H. B. Lawson; R. Osserman

doi:10.1007/bf02392232

Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system

Acta Mathematica ◽

10.1007/bf02392232 ◽

1977 ◽

Vol 139 (0) ◽

pp. 1-17 ◽

Cited By ~ 57

Author(s):

H. B. Lawson ◽

R. Osserman

Keyword(s):

Minimal Surface ◽

Surface System

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Interior gradient bounds for solutions to the minimal surface system

American Journal of Mathematics ◽

10.1353/ajm.2004.0033 ◽

2004 ◽

Vol 126 (4) ◽

pp. 921-934 ◽

Cited By ~ 4

Author(s):

Mu-Tao Wang

Keyword(s):

Minimal Surface ◽

Surface System ◽

Gradient Bounds

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Stability of the minimal surface system and convexity of area functional

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2014-06223-5 ◽

2014 ◽

Vol 366 (7) ◽

pp. 3357-3371 ◽

Cited By ~ 1

Author(s):

Yng-Ing Lee ◽

Mao-Pei Tsui

Keyword(s):

Minimal Surface ◽

Area Functional ◽

Surface System

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Remarks on a class of solutions to the minimal surface system

Geometric Evolution Equations - Contemporary Mathematics ◽

10.1090/conm/367/06758 ◽

2005 ◽

pp. 229-235

Author(s):

Mu-Tao Wang

Keyword(s):

Minimal Surface ◽

Surface System

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The Dirichlet problem for the minimal surface system in arbitrary dimensions and codimensions

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.10117 ◽

2003 ◽

Vol 57 (2) ◽

pp. 267-281 ◽

Cited By ~ 6

Author(s):

Mu-Tao Wang

Keyword(s):

Dirichlet Problem ◽

Minimal Surface ◽

Surface System ◽

Arbitrary Dimensions

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A Note on the Stability and Uniqueness for Solutions to the Minimal Surface System

Mathematical Research Letters ◽

10.4310/mrl.2008.v15.n1.a16 ◽

2008 ◽

Vol 15 (1) ◽

pp. 197-206 ◽

Cited By ~ 1

Author(s):

Yng-Ing Lee ◽

Mu-Tao Wang

Keyword(s):

Minimal Surface ◽

Surface System ◽

The Stability

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Some properties of solutions to the minimal surface system for arbitrary codimension

Global Analysis - Proceedings of Symposia in Pure Mathematics ◽

10.1090/pspum/015/0262946 ◽

1970 ◽

pp. 283-291 ◽

Cited By ~ 3

Author(s):

Robert Osserman

Keyword(s):

Minimal Surface ◽

Surface System ◽

Arbitrary Codimension

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Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2019.01.019 ◽

2019 ◽

Vol 129 ◽

pp. 266-300

Author(s):

Xiaowei Xu ◽

Ling Yang ◽

Yongsheng Zhang

Keyword(s):

Minimal Surface ◽

Dirichlet Boundary ◽

Infinitely Many Solutions ◽

Boundary Values ◽

Surface System

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On the periodic minimal surface structure of the plant prolamellar body

Physiologia Plantarum ◽

10.1034/j.1399-3054.1990.800101.x ◽

1990 ◽

Vol 80 (1) ◽

pp. 1-4 ◽

Cited By ~ 2

Author(s):

I. Lindstedt ◽

C. Liljenberg

Keyword(s):

Minimal Surface ◽

Surface Structure ◽

Prolamellar Body ◽

Periodic Minimal Surface

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THE EQUIVALUED BOUNDARY VALUE PROBLEMS FOR THE MINIMAL SURFACE EQUATION

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30680-5 ◽

1984 ◽

Vol 4 (4) ◽

pp. 471-479 ◽

Cited By ~ 1

Author(s):

shuxing Chen

Keyword(s):

Minimal Surface ◽

Boundary Value Problems ◽

Boundary Value ◽

Surface Equation ◽

Minimal Surface Equation

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Compression-Compression Fatigue Behaviour of Triply Periodic Minimal Surface Porous Structures Fabricated by Selective Laser Melting

SSRN Electronic Journal ◽

10.2139/ssrn.3406935 ◽

2019 ◽

Author(s):

Lei Yang ◽

Chunze Yan ◽

Wenchao Cao ◽

Zhufeng Liu ◽

Bo Song ◽

...

Keyword(s):

Minimal Surface ◽

Selective Laser Melting ◽

Fatigue Behaviour ◽

Porous Structures ◽

Laser Melting ◽

Periodic Minimal Surface ◽

Triply Periodic ◽

Triply Periodic Minimal Surface

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