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Volumn 8, Issue 2, 1998, Pages 239-250

Soap films bounded by non-closed curves

Author keywords

Knots; Soap film like minimal surfaces; Stationary varifolds

Indexed keywords


EID: 0009916424     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02921642     Document Type: Article
Times cited : (3)

References (12)
  • 1
    • 0001246518 scopus 로고
    • On the first variation of a varifold
    • Allard, W. On the first variation of a varifold, Ann. Math., 95, 417-491, (1972).
    • (1972) Ann. Math. , vol.95 , pp. 417-491
    • Allard, W.1
  • 2
    • 0000910006 scopus 로고
    • Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
    • Almgren, Jr., F.J. Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints, Mem. Am. Math. Soc., 165, (1976).
    • (1976) Mem. Am. Math. Soc. , vol.165
    • Almgren Jr., F.J.1
  • 3
    • 29044443367 scopus 로고
    • Geometric variational problems from a measure theoretic point of view
    • International Atomic Energy Agency, Vienna
    • Almgren, Jr., F.J. Geometric variational problems from a measure theoretic point of view, in Global Analysis and Its Applications, Vol. II, International Atomic Energy Agency, Vienna, 1-22, 1974.
    • (1974) Global Analysis and Its Applications , vol.2 , pp. 1-22
    • Almgren Jr., F.J.1
  • 5
    • 28944437167 scopus 로고
    • The structure of limit varifolds associated with minimizing sequences of mappings
    • Almgren, F.J., Jr. The structure of limit varifolds associated with minimizing sequences of mappings, Symp. Math., XIV, 413-428, (1974).
    • (1974) Symp. Math. , vol.14 , pp. 413-428
    • Almgren Jr., F.J.1
  • 6
    • 0001761212 scopus 로고
    • On the total curvature of knots
    • Milnor, J. On the total curvature of knots, Ann. of Math., 52(2), 248-257, (1950).
    • (1950) Ann. of Math. , vol.52 , Issue.2 , pp. 248-257
    • Milnor, J.1
  • 7
    • 0040223341 scopus 로고
    • Soap-film-like minimal surfaces spanning knots
    • Parks, H.R. Soap-film-like minimal surfaces spanning knots, J. Geom. Anal., 2(3), 267-290, (1992).
    • (1992) J. Geom. Anal. , vol.2 , Issue.3 , pp. 267-290
    • Parks, H.R.1
  • 8
    • 0003740339 scopus 로고
    • Publish or Perish, Houston, TX
    • Rolfson, D. Knots and Links, Publish or Perish, Houston, TX, 1990.
    • (1990) Knots and Links
    • Rolfson, D.1
  • 10
    • 0001841087 scopus 로고
    • Lectures on geometric measure theory
    • Australian National University, Canberra
    • Simon, L. Lectures on geometric measure theory, Proc. C.M.A., 3, Australian National University, Canberra, (1983).
    • (1983) Proc. C.M.A. , pp. 3
    • Simon, L.1
  • 11
    • 0009036699 scopus 로고
    • A strong maximum principal for varifolds that are stationary with respect to even parametric elliptic functionals
    • Solomon, B. and White, B. A strong maximum principal for varifolds that are stationary with respect to even parametric elliptic functionals, Indiana Univ. Math. J., 38(3), 683-691, (1989).
    • (1989) Indiana Univ. Math. J. , vol.38 , Issue.3 , pp. 683-691
    • Solomon, B.1    White, B.2
  • 12
    • 0001069766 scopus 로고
    • The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
    • Taylor, J.E. The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces, Ann. Math., 103, 489-539, (1976).
    • (1976) Ann. Math. , vol.103 , pp. 489-539
    • Taylor, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.