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Volumn 18, Issue 1, 2008, Pages 172-191

Proof of the double bubble conjecture in R n

Author keywords

Double bubble; Minimizer

Indexed keywords


EID: 84867934337     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12220-007-9002-y     Document Type: Article
Times cited : (46)

References (14)
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    • Almgren, Jr.F.J.1
  • 2
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    • Sur la surface de révolution dont la courbure moyenne est constante
    • C. Delaunay 1841 Sur la surface de révolution dont la courbure moyenne est constante J. Math. Pures Appl. Sér. 1 6 309 320
    • (1841) J. Math. Pures Appl. Sér. 1 , vol.6 , pp. 309-320
    • Delaunay, C.1
  • 3
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    • The surfaces of Delaunay
    • 10.1007/BF03023575
    • J. Eels 1987 The surfaces of Delaunay Math. Intell. 9 53 57 10.1007/BF03023575
    • (1987) Math. Intell. , vol.9 , pp. 53-57
    • Eels, J.1
  • 5
    • 0034408906 scopus 로고    scopus 로고
    • Double bubbles minimize
    • 0970.53008 10.2307/121042 1765704
    • J. Hass R. Schlafly 2000 Double bubbles minimize Ann. Math. 151 459 515 0970.53008 10.2307/121042 1765704
    • (2000) Ann. Math. , vol.151 , pp. 459-515
    • Hass, J.1    Schlafly, R.2
  • 6
    • 0002100604 scopus 로고
    • The double bubble conjecture
    • 0864.53007 10.1090/S1079-6762-95-03001-0 1369639
    • J. Hass M. Hutchings R. Schlafly 1995 The double bubble conjecture Elec. Res. Ann. Am. Math. Soc. 1 98 102 0864.53007 10.1090/S1079-6762-95-03001-0 1369639
    • (1995) Elec. Res. Ann. Am. Math. Soc. , vol.1 , pp. 98-102
    • Hass, J.1    Hutchings, M.2    Schlafly, R.3
  • 8
    • 84972581765 scopus 로고
    • A generalization of theorems of A.D. Alexandrov and C. Delaunay on hypersurfaces of constant mean curvature
    • 0496.53006 10.1215/S0012-7094-82-04927-4 672494
    • W.-Y. Hsiang 1982 A generalization of theorems of A.D. Alexandrov and C. Delaunay on hypersurfaces of constant mean curvature Duke Math. J. 49 485 496 0496.53006 10.1215/S0012-7094-82-04927-4 672494
    • (1982) Duke Math. J. , vol.49 , pp. 485-496
    • Hsiang, W.-Y.1
  • 9
    • 84972525997 scopus 로고
    • A generalization of a theorem of Delaunay
    • 0504.53044 638783
    • W.-Y. Hsiang W.-C. Yu 1981 A generalization of a theorem of Delaunay J. Differ. Geom. 16 161 177 0504.53044 638783
    • (1981) J. Differ. Geom. , vol.16 , pp. 161-177
    • Hsiang, W.-Y.1    Yu, W.-C.2
  • 10
    • 0001043871 scopus 로고    scopus 로고
    • The structure of area-minimizing double bubbles
    • 0935.53008 1646776
    • M. Hutchings 1997 The structure of area-minimizing double bubbles J. Geom. Anal. 7 285 304 0935.53008 1646776
    • (1997) J. Geom. Anal. , vol.7 , pp. 285-304
    • Hutchings, M.1
  • 11
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    • Proof of the double bubble conjecture
    • 1009.53007
    • M. Hutchings F. Morgan M. Ritoré A. Ros 2002 Proof of the double bubble conjecture Ann. Math. 155 459 489 1009.53007
    • (2002) Ann. Math. , vol.155 , pp. 459-489
    • Hutchings, M.1    Morgan, F.2    Ritoré, M.3    Ros, A.4
  • 14
    • 84868002146 scopus 로고    scopus 로고
    • Wichiramala, W.: Private communication (2002)
    • Wichiramala, W.: Private communication (2002)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.