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Volumn 60, Issue 1, 1996, Pages 39-48

On the second differentiability of convex surfaces

Author keywords

Convex surfaces; Differential geometry; Real valued functions

Indexed keywords


EID: 0039314072     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00150866     Document Type: Article
Times cited : (21)

References (12)
  • 1
    • 0002867833 scopus 로고
    • Almost everywhere existence of the second differential of a convex functions and related properties of convex surfaces
    • in Russian
    • Aleksandrov, A. D.: Almost everywhere existence of the second differential of a convex functions and related properties of convex surfaces , Uchenye Zapisky Leningrad. Gos. Univ. Math. Ser. 37 (1939), 3-35 (in Russian).
    • (1939) Uchenye Zapisky Leningrad. Gos. Univ. Math. Ser. , vol.37 , pp. 3-35
    • Aleksandrov, A.D.1
  • 2
    • 84941449805 scopus 로고
    • Analytische Eigenschaften Konvexer Funktionen auf Riemannschen Mannigfaltigkeiten
    • Bangert, V.: Analytische Eigenschaften Konvexer Funktionen auf Riemannschen Mannigfaltigkeiten, J. Reine Angew. Math. 307/308 (1979), 309-324.
    • (1979) J. Reine Angew. Math. , vol.307-308 , pp. 309-324
    • Bangert, V.1
  • 4
    • 51249195102 scopus 로고
    • Krümmungseigenschaften konvexer Flächen
    • Busemann, H. and Feller, W.: Krümmungseigenschaften konvexer Flächen, Acta Math. 66 (1935), 1-47.
    • (1935) Acta Math. , vol.66 , pp. 1-47
    • Busemann, H.1    Feller, W.2
  • 8
    • 0001635734 scopus 로고
    • Contrôle dans les inéquations variationelles elliptiques
    • Mignot, F.: Contrôle dans les inéquations variationelles elliptiques, J. Funct. Anal. 22 (1976), 130-185.
    • (1976) J. Funct. Anal. , vol.22 , pp. 130-185
    • Mignot, F.1
  • 9
    • 84990632010 scopus 로고
    • Affine isoperimetric problems
    • J. E. Goodman, E. Lutwak, J. Malkevitch and R. Pollack (eds), Ann. New York Acad. Sci. 440, New York Acad. Sci., New York
    • Petty, C. M.: Affine isoperimetric problems, in J. E. Goodman, E. Lutwak, J. Malkevitch and R. Pollack (eds), Discrete Geometry and Convexity, Ann. New York Acad. Sci. 440, New York Acad. Sci., New York, 1985, pp. 113-127.
    • (1985) Discrete Geometry and Convexity , pp. 113-127
    • Petty, C.M.1
  • 10
    • 0001060655 scopus 로고
    • Generalized derivatives and differentiability almost everywhere
    • Rešetniak, Yu. G.: Generalized derivatives and differentiability almost everywhere, Mat. USSR (Sb.) 4 (1968), 293-302.
    • (1968) Mat. USSR (Sb.) , vol.4 , pp. 293-302
    • Rešetniak, Yu.G.1
  • 11
    • 84966234425 scopus 로고
    • Maximal monotone relations and the second derivatives of convex functions
    • Rockafellar, R. T.: Maximal monotone relations and the second derivatives of convex functions, Am. Inst. H. Poincaré, Analyse Nonlinéaire, 2 (1985), 167-184.
    • (1985) Am. Inst. H. Poincaré, Analyse Nonlinéaire , vol.2 , pp. 167-184
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.