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Volumn 9, Issue 4, 1999, Pages 297-325

Continua of H-graphs: Convexity and isoperimetric stability

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EID: 0001021483     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260050143     Document Type: Article
Times cited : (14)

References (18)
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    • Barbosa, J.L.1    Do Carmo, M.P.2
  • 4
    • 0003186321 scopus 로고
    • On the total curvature of immersed manifolds
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    • (1958) Michigan Math. J. , vol.5 , pp. 5-12
    • Chern, S.S.1    Lashof, R.K.2
  • 6
    • 84980187204 scopus 로고
    • The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature
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    • [FCS80] Doris Fischer-Colbrie and Richard Schoen. The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature. Comm. in Pure Appl. Math., 33:199-211, 1980.
    • (1980) Comm. in Pure Appl. Math. , vol.33 , pp. 199-211
    • Fischer-Colbrie, D.1    Schoen, R.2
  • 8
    • 0000877576 scopus 로고
    • Regularity of minimizing surfaces of prescribed mean curvature
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    • [Gul73] Robert Gulliver. Regularity of minimizing surfaces of prescribed mean curvature. Ann. of Math., 97(2):275-305, 1973.
    • (1973) Ann. of Math. , vol.97 , Issue.2 , pp. 275-305
    • Gulliver, R.1
  • 9
    • 0013523739 scopus 로고
    • On elliptic partial differential equations and uniqueness theorems for closed surfaces
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    • [Har58] Philip Hartman. On elliptic partial differential equations and uniqueness theorems for closed surfaces. J. Math. Mech., 7:377-392, 1958.
    • (1958) J. Math. Mech. , vol.7 , pp. 377-392
    • Hartman, P.1
  • 10
    • 0004226767 scopus 로고
    • Differential Geometry in the Large
    • [Hop89]. Springer-Verlag, Berlin
    • [Hop89] Heinz Hopf. Differential Geometry in the Large. Number 1000 in Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1989.
    • (1989) Number 1000 in Lecture Notes in Mathematics
    • Hopf, H.1
  • 11
    • 0041603263 scopus 로고
    • When are superharmonic functions concave? Applications to the St. Venant torsion problem and to the fundamental mode of the clamped membrane
    • [Kaw84]
    • [Kaw84] Bernhard Kawohl. When are superharmonic functions concave? Applications to the St. Venant torsion problem and to the fundamental mode of the clamped membrane. Z. Angew. Math. Mech., 64:364-366, 1984.
    • (1984) Z. Angew. Math. Mech. , vol.64 , pp. 364-366
    • Kawohl, B.1
  • 12
    • 0002095069 scopus 로고
    • Solution of Dirichlet's problem for the equation Δu = -1 on a convex region
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    • [ML71] L.G. Makar-Limonov. Solution of Dirichlet's problem for the equation Δu = -1 on a convex region. Math. Notes Acad. Sci. USSR, 9:52-53, 1971.
    • (1971) Math. Notes Acad. Sci. USSR , vol.9 , pp. 52-53
    • Makar-Limonov, L.G.1
  • 15
    • 0002674462 scopus 로고
    • Ein Eindeutigkeitssatz für Flächen konstanter mittlerer Krümmung
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    • [Ruc79] Hartmut Ruchert. Ein Eindeutigkeitssatz für Flächen konstanter mittlerer Krümmung. Arch. Math. (Basel), 33:91-104, 1979.
    • (1979) Arch. Math. (Basel) , vol.33 , pp. 91-104
    • Ruchert, H.1
  • 16
    • 0002022145 scopus 로고
    • On surfaces of constant mean curvature which span a given space curve
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    • [Ser69] James Serrin. On surfaces of constant mean curvature which span a given space curve. Math. Z., 112:77-88, 1969.
    • (1969) Math. Z. , vol.112 , pp. 77-88
    • Serrin, J.1
  • 18
    • 0000282518 scopus 로고
    • A general existence theorem for surfaces of constant mean curvature
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    • [Wen71] H.C. Wente. A general existence theorem for surfaces of constant mean curvature. Math. Z., 120:277-288, 1971.
    • (1971) Math. Z. , vol.120 , pp. 277-288
    • Wente, H.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.