메뉴 건너뛰기




Volumn 71, Issue 2, 2005, Pages 315-346

A priori estimates for the yamabe problem in the non-locally conformally flat case

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33645314039     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1143651772     Document Type: Article
Times cited : (122)

References (20)
  • 1
    • 0001596880 scopus 로고
    • Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
    • T. Aubin, Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire, J. Math. Pures Appl. 55 (1976) 269-296.
    • (1976) J. Math. Pures Appl , vol.55 , pp. 269-296
    • Aubin, T.1
  • 2
    • 84990617031 scopus 로고
    • Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth
    • L. Caffarelli, B. Gidas, & J. Spruck, Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (1989) 271-297.
    • (1989) Comm. Pure Appl. Math , vol.42 , pp. 271-297
    • Caffarelli, L.1    Gidas, B.2    Spruck, J.3
  • 3
    • 0001178856 scopus 로고    scopus 로고
    • Estimates of the scalar curvature equation via the method of moving planes
    • C.C. Chen & C.S. Lin, Estimates of the scalar curvature equation via the method of moving planes, J. Differential Geom. 49 (1998) 115-178.
    • (1998) J. Differential Geom , vol.49 , pp. 115-178
    • Chen, C.C.1    Lin, C.S.2
  • 4
    • 0344928496 scopus 로고    scopus 로고
    • From one bubble to several bubbles: The low-dimensional case
    • O. Druet, From one bubble to several bubbles: the low-dimensional case, J. Differential Geom. 63(3) (2003) 399-473.
    • (2003) J. Differential Geom , vol.63 , Issue.3 , pp. 399-473
    • Druet, O.1
  • 5
    • 2142834701 scopus 로고    scopus 로고
    • Compactness for Yamabe metrics in low dimensions
    • O. Druet, Compactness for Yamabe metrics in low dimensions, Int. Math. Res. Not. 23 (2004) 1143-1191.
    • (2004) Int. Math. Res. Not , vol.23 , pp. 1143-1191
    • Druet, O.1
  • 6
    • 0001406134 scopus 로고    scopus 로고
    • The Yamabe problem on manifolds with boundary: Existence and compactness results
    • Z.C. Han & Y.Y. Li, The Yamabe problem on manifolds with boundary: existence and compactness results, Duke Math. Journal 99(3) (1999) 489-542.
    • (1999) Duke Math. Journal , vol.99 , Issue.3 , pp. 489-542
    • Han, Z.C.1    Li, Y.Y.2
  • 8
    • 0001675486 scopus 로고
    • Prescribing scalar curvature on Sn and related problems, part I
    • Y.Y. Li, Prescribing scalar curvature on Sn and related problems, part I, J. Differential Equations 120 (1995) 319-410.
    • (1995) J. Differential Equations , vol.120 , pp. 319-410
    • Li, Y.Y.1
  • 10
    • 0040281232 scopus 로고    scopus 로고
    • Yamabe type equations on three dimensional Riemann-ian manifolds
    • Y.Y. Li & M. Zhu, Yamabe type equations on three dimensional Riemann-ian manifolds, Comm. in Contemporary Mathematics 1(1) (1999) 1-50.
    • (1999) Comm. In Contemporary Mathematics , vol.1 , Issue.1 , pp. 1-50
    • Li, Y.Y.1    Zhu, M.2
  • 12
    • 84972541914 scopus 로고
    • The conjectures on conformal transformations of Riemannian manifolds
    • M. Obata, The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geom. 6 (1971) 247-258.
    • (1971) J. Differential Geom , vol.6 , pp. 247-258
    • Obata, M.1
  • 13
    • 0000933854 scopus 로고
    • Compactness results for complete metrics of constant positive scalar curvature on subdomains of Sn
    • D. Pollack, Compactness results for complete metrics of constant positive scalar curvature on subdomains of Sn, Indiana Univ. Math. J. 42(4) (1993) 1441-1456.
    • (1993) Indiana Univ. Math. J , vol.42 , Issue.4 , pp. 1441-1456
    • Pollack, D.1
  • 14
    • 0001239209 scopus 로고
    • On the number of constant scalar curvature metrics in a conformal class, in ‘Differential Geometry: A Symposium in Honor of Manfredo do Carmo’
    • R. Schoen, On the number of constant scalar curvature metrics in a conformal class, in ‘Differential Geometry: A Symposium in Honor of Manfredo do Carmo’, Pitman Monogr. Surveys Pure appl. Math., 52 (1991) 311-320.
    • (1991) Pitman Monogr. Surveys Pure Appl. Math. , vol.52 , pp. 311-320
    • Schoen, R.1
  • 15
    • 0009156075 scopus 로고
    • A report on some recent progress on nonlinear problems in geometry
    • Cambridge, MA, Lehigh Univ., Bethlehem, PA
    • R. Schoen, A report on some recent progress on nonlinear problems in geometry, in ‘Surveys in differential geometry’ (Cambridge, MA, 1990), 201-241, Lehigh Univ., Bethlehem, PA.
    • (1990) Surveys in Differential Geometry , pp. 201-241
    • Schoen, R.1
  • 16
    • 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 Geometry 20 (1984) 479-495.
    • (1984) J. Differential Geometry , vol.20 , pp. 479-495
    • Schoen, R.1
  • 17
    • 34250263023 scopus 로고
    • On the proof of the positive mass conjecture in General Relativity
    • R. Schoen & S.-T. Yau, On the proof of the positive mass conjecture in General Relativity, Comm. Math. Phys. 65 (1979) 45-76.
    • (1979) Comm. Math. Phys , vol.65 , pp. 45-76
    • Schoen, R.1    Yau, S.-T.2
  • 18
    • 0001768749 scopus 로고    scopus 로고
    • Prescribed scalar curvature on the n-sphere
    • R. Schoen & D. Zhang, Prescribed scalar curvature on the n-sphere, Calc. Var. and PDEs 4 (1996) 1-25.
    • (1996) Calc. Var. And Pdes , vol.4 , pp. 1-25
    • Schoen, R.1    Zhang, D.2
  • 19
    • 0000471156 scopus 로고
    • Remarks concerning the conformal deformation of a Riemannian structure on compact manifolds
    • N. Trudinger, Remarks concerning the conformal deformation of a Riemannian structure on compact manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22(3) (1968) 165-274.
    • (1968) Ann. Scuola Norm. Sup. Pisa Cl. Sci , vol.22 , Issue.3 , pp. 165-274
    • Trudinger, N.1
  • 20
    • 84972561687 scopus 로고
    • On a deformation of Riemannian structures on compact manifolds
    • H. Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J. 12 (1960) 21-37.
    • (1960) Osaka Math. J , vol.12 , pp. 21-37
    • Yamabe, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.