메뉴 건너뛰기




Volumn 118, Issue 2, 1996, Pages 291-300

Optimal Sobolev inequalities on complete Riemannian manifolds with ricci curvature bounded below and positive injectivity radius

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001619214     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1996.0014     Document Type: Article
Times cited : (38)

References (16)
  • 1
    • 84968468726 scopus 로고
    • Ricci curvature bounds and Einstein metrics on compact manifolds
    • M. T. Anderson, Ricci curvature bounds and Einstein metrics on compact manifolds, J. Amer. Math. Soc. 2 (1989), 455-490.
    • (1989) J. Amer. Math. Soc. , vol.2 , pp. 455-490
    • Anderson, M.T.1
  • 2
    • 84972511806 scopus 로고
    • α-compactness for manifolds with Ricci curvature and injectivity radius bounded below
    • α-compactness for manifolds with Ricci curvature and injectivity radius bounded below, J. Differential Geom. 35 (1992), 265-281.
    • (1992) J. Differential Geom. , vol.35 , pp. 265-281
    • Anderson, M.T.1    Cheeger, J.2
  • 3
    • 0001676787 scopus 로고
    • Espaces de Sobolev sur les variétés Riemanniennes
    • T. Aubin, Espaces de Sobolev sur les variétés Riemanniennes. Bull. Sci. Math. 100 (1976), 149-173.
    • (1976) Bull. Sci. Math. , vol.100 , pp. 149-173
    • Aubin, T.1
  • 5
    • 0001563434 scopus 로고
    • Some isoperimetric inequalities and eigenvalue estimates
    • C. B. Croke, Some isoperimetric inequalities and eigenvalue estimates, Ann. Sci. l'Ecole Norm. Sup. 13 (1980). 419-435.
    • (1980) Ann. Sci. l'Ecole Norm. Sup. , vol.13 , pp. 419-435
    • Croke, C.B.1
  • 6
    • 0002253992 scopus 로고
    • Inégalités isopérimétriques et analytiques sur les variétés riemanniennes
    • S. Gallot, Inégalités isopérimétriques et analytiques sur les variétés riemanniennes. Astérisque (1988), 31-91.
    • (1988) Astérisque , pp. 31-91
    • Gallot, S.1
  • 7
    • 0000038293 scopus 로고
    • Isoperimetric inequalities based on integral norms of Ricci curvature
    • _, Isoperimetric inequalities based on integral norms of Ricci curvature, Astérisque (1988), 191-216.
    • (1988) Astérisque , pp. 191-216
  • 8
    • 84980182383 scopus 로고
    • Global and local behavior of positive solutions of nonlinear elliptic equations
    • B. Gidas and J. Spruck, Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. XXXIV (1981), 525-598.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 525-598
    • Gidas, B.1    Spruck, J.2
  • 9
    • 38249003092 scopus 로고
    • Courbure scalaire et géométrie conforme
    • E. Hebey, Courbure scalaire et géométrie conforme, J. Geom. Phys. 10 (1993), 345-380.
    • (1993) J. Geom. Phys. , vol.10 , pp. 345-380
    • Hebey, E.1
  • 10
    • 0040259426 scopus 로고
    • Meilleures constantes dans le théoréme d'inclusion de Sobolev
    • E. Hebey and M. Vaugon, Meilleures constantes dans le théoréme d'inclusion de Sobolev, C.R. Acad. Sci. Paris Ser. I Math. 318 (1994), 675-677.
    • (1994) C.R. Acad. Sci. Paris Ser. I Math. , vol.318 , pp. 675-677
    • Hebey, E.1    Vaugon, M.2
  • 11
    • 84974004186 scopus 로고
    • The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
    • _, The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds. Duke Math. J. 79 (1995), 235-279.
    • (1995) Duke Math. J. , vol.79 , pp. 235-279
  • 12
    • 0000916122 scopus 로고
    • Constantes explicites pour les inégalités de Sobolev sur les variétés Riemanniennes compactes
    • S. Ilias, Constantes explicites pour les inégalités de Sobolev sur les variétés Riemanniennes compactes, Ann. Inst. Fourier 33 (1983), 151-165.
    • (1983) Ann. Inst. Fourier , vol.33 , pp. 151-165
    • Ilias, S.1
  • 14
    • 84972506352 scopus 로고
    • Conformal deformation of a Riemannian metric to constant scalar curvature
    • R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984), 479-495.
    • (1984) J. Differential Geom. , vol.20 , pp. 479-495
    • Schoen, R.1
  • 15
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • G. Talenti, Best constant in Sobolev inequality. Ann. Mat. Pura Appl. 110 (1976), 353-372.
    • (1976) Ann. Mat. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 16
    • 0001141252 scopus 로고
    • Small time Gaussian estimates of heat diffusion kernels. Part I: The semigroup technique
    • N. Varopoulos, Small time Gaussian estimates of heat diffusion kernels. Part I: The semigroup technique, Bull. Sci. Math. 113 (1989), 253-277.
    • (1989) Bull. Sci. Math. , vol.113 , pp. 253-277
    • Varopoulos, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.