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Volumn 12, Issue 1, 2002, Pages 29-61

Nearly flat almost monotone measures are big pieces of Lipschitz graphs

Author keywords

minimal sets; monotonicity; rectifiable currents; regularity; varifolds

Indexed keywords


EID: 84867929101     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02930859     Document Type: Article
Times cited : (10)

References (14)
  • 1
    • 0001246518 scopus 로고
    • On the first variation of a varifold
    • 10.2307/1970868 307015
    • W.K. Allard 1972 On the first variation of a varifold Ann. of Math. 95 2 417 491 10.2307/1970868 307015
    • (1972) Ann. of Math. , vol.95 , Issue.2 , pp. 417-491
    • Allard, W.K.1
  • 3
    • 0000910006 scopus 로고
    • Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
    • Memoirs of the A.M.S.
    • Almgren, F.J. Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints,Memoirs of the A.M.S.; no. 165, American Math. Soc.; (1976).
    • (1976) American Math. Soc. , Issue.165
    • Almgren F., .J.1
  • 4
    • 0027559276 scopus 로고
    • Curvature-driven flows: A variational approach
    • 0783.35002 10.1137/0331020 1205983
    • F.J. Almgren J.E. Taylor L. Wang 1993 Curvature-driven flows: a variational approach SIAM J. Control and Opt. 31 2 387 437 0783.35002 10.1137/0331020 1205983
    • (1993) SIAM J. Control and Opt. , vol.31 , Issue.2 , pp. 387-437
    • Almgren, F.J.1    Taylor, J.E.2    Wang, L.3
  • 6
    • 84867983864 scopus 로고    scopus 로고
    • Huovinen, P.; Kirchheim, B. Personal communication, (1998)
    • Huovinen, P. and Kirchheim, B. Personal communication, (1998).
  • 7
    • 0000881329 scopus 로고
    • Besicovitch-type properties of measures and submanifolds
    • 0618.53006 903637
    • O. Kowalski D. Preiss 1987 Besicovitch-type properties of measures and submanifolds J. Reine Angew. Math. 379 115 151 0618.53006 903637
    • (1987) J. Reine Angew. Math. , vol.379 , pp. 115-151
    • Kowalski, O.1    Preiss, D.2
  • 8
    • 0012993120 scopus 로고
    • Hausdorff two-dimensional measure in 3 space
    • 0109.03504 10.1112/plms/s3-11.1.91 123670
    • J.M. Marstrand 1961 Hausdorff two-dimensional measure in 3 space Proc. London Math. Soc. 11 3 91 108 0109.03504 10.1112/plms/s3-11.1.91 123670
    • (1961) Proc. London Math. Soc. , vol.11 , Issue.3 , pp. 91-108
    • Marstrand, J.M.1
  • 9
    • 84968495703 scopus 로고
    • Hausdorffm regular and rectifiable sets inn space
    • 0274.28004 10.2307/1997203 357741
    • P. Mattila 1975 Hausdorffm regular and rectifiable sets inn space Trans. Am. Math. Soc. 205 263 274 0274.28004 10.2307/1997203 357741
    • (1975) Trans. Am. Math. Soc. , vol.205 , pp. 263-274
    • Mattila, P.1
  • 11
    • 1842785509 scopus 로고
    • A measure with a large set of tangent measures
    • 0827.28002 10.2307/2160960 1264826
    • T. O'Neil 1995 A measure with a large set of tangent measures Proc. Am. Math. Soc. 123 7 2217 2220 0827.28002 10.2307/2160960 1264826
    • (1995) Proc. Am. Math. Soc. , vol.123 , Issue.7 , pp. 2217-2220
    • O'Neil, T.1
  • 12
    • 0001684717 scopus 로고
    • n : distribution, rectifiability, and densities
    • 10.2307/1971410 890162
    • n : distribution, rectifiability, and densities Ann. of Math. 125 2 537 643 10.2307/1971410 890162
    • (1987) Ann. of Math. , vol.125 , Issue.2 , pp. 537-643
    • Preiss, D.1
  • 13
    • 51249192844 scopus 로고
    • Solutions of the plateau problem for m-dimensional surfaces of varying topological type
    • 0099.08503 10.1007/BF02547186 114145
    • R.E. Reifenberg 1960 Solutions of the plateau problem for m-dimensional surfaces of varying topological type Acta Math. 104 1 92 0099.08503 10.1007/BF02547186 114145
    • (1960) Acta Math. , vol.104 , pp. 1-92
    • Reifenberg, R.E.1
  • 14
    • 0001069766 scopus 로고
    • The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
    • 10.2307/1970949 428181
    • J.E. Taylor 1976 The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces Ann. of Math. 103 2 489 539 10.2307/1970949 428181
    • (1976) Ann. of Math. , vol.103 , Issue.2 , pp. 489-539
    • Taylor, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.