PAIRED CALIBRATIONS APPLIED TO SOAP FILMS, IMMISCIBLE FLUIDS, AND SURFACES OR NETWORKS MINIMIZING OTHER NORMS

被引：70

作者：

LAWLOR, G ^{[1
]}

MORGAN, F ^{[1
]}

机构：

[1] WILLIAMS COLL,WILLIAMSTOWN,MA 01267

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1994年 / 166卷 / 01期

关键词：

D O I：

10.2140/pjm.1994.166.55

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce a new method for proving area-minimization which we call ''paired calibrations.'' We begin with the simplest application, the cone over the tetrahedron, which appears in soap films. We then discuss immiscible fluid interfaces, crystal surfaces, and one-dimensional networks minimizing other norms.

引用

页码：55 / 83

页数：29

共 38 条

[1] THE STRUCTURE OF SINGULARITIES IN PHI-MINIMIZING NETWORKS IN R2 [J].

ALFARO, M ;

CONGER, M ;

HODGES, K ;

LEVY, A ;

KOCHAR, R ;

KUKLINSKI, L ;

MAHMOOD, Z ;

VONHAAM, K .

PACIFIC JOURNAL OF MATHEMATICS, 1991, 149 (02) :201-210

[2]

ALFARO M, 1990, J UNDERGRADUATE MATH, V22, P9

[3]

ALFARO M, IN PRESS PACIFIC J M

[4]

ALMGREN F, 1976, MEM AM MATH SOC, V165, P1

[5] GEOMETRY OF SOAP FILMS AND SOAP BUBBLES [J].

ALMGREN, FJ ;

TAYLOR, JE .

SCIENTIFIC AMERICAN, 1976, 235 (01) :82-93

[6]

BLUMENTHAL LM, 1970, THEORY APPLICATIONS

[7]

BRAKKE K, IN PRESS J GEOM ANAL

[8]

Brakke K., 1992, EXP MATH, V1, P141

[9]

Brakke K. A., 1991, J GEOM ANAL, V1, P329

[10]

Chakerian G.D., 1985, GEOM DEDICATA, V17, P227

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