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Calculus of Variations and Partial Differential Equations
Volumn 4, Issue 6, 1996, Pages 559-592
Conformal metrics with prescribed mean curvature on the boundary
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EID: 0013167941     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01261763     Document Type: Article
Times cited : (121)
References (14)
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    • Beckner, W.1
  • 2
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    • Scalar Curvature Functions in a Conformal Class of Metrics and Conformal transformations
    • J.P. Bourguignon, J.P. Ezin, Scalar Curvature Functions in a Conformal Class of Metrics and Conformal transformations. Trans. Amer. Mat. Soc. 301 (1987), 723-736
    • (1987) Trans. Amer. Mat. Soc. , vol.301 , pp. 723-736
    • Bourguignon, J.P.1    Ezin, J.P.2
  • 4
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    • Problèmes de Neumann nonlinéaires sur les variétés Riemanniennes
    • P. Cherrier, Problèmes de Neumann nonlinéaires sur les variétés Riemanniennes. J. Funct. Anal.57 (1984), 154-207
    • (1984) J. Funct. Anal. , vol.57 , pp. 154-207
    • Cherrier, P.1
  • 5
    • 0002416517 scopus 로고
    • Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature
    • J.F. Escobar, Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature. Annals of Mathematics 136, No 3 (1992), 1-50
    • (1992) Annals of Mathematics , vol.136 , Issue.3 , pp. 1-50
    • Escobar, J.F.1
  • 6
    • 84972534380 scopus 로고
    • The Yamabe problem on manifolds with boundary
    • J.F. Escobar, The Yamabe problem on manifolds with boundary. Jour. of Diff. Geom. 35 (1992), 21-84
    • (1992) Jour. of Diff. Geom. , vol.35 , pp. 21-84
    • Escobar, J.F.1
  • 7
    • 84990613846 scopus 로고
    • Uniqueness Theorems on Conformal Deformation of Metrics, Sobolev Inequalities, and a Eigenvalue Estimate
    • J.F. Escobar, Uniqueness Theorems on Conformal Deformation of Metrics, Sobolev Inequalities, and a Eigenvalue Estimate. Comm. on Pure and Appl. Math 43 (1990), 857-883
    • (1990) Comm. on Pure and Appl. Math , vol.43 , pp. 857-883
    • Escobar, J.F.1
  • 8
    • 0001256961 scopus 로고
    • Sharp constant in a Sobolev trace inequality
    • J.F. Escobar, Sharp constant in a Sobolev trace inequality. Indiana Univ. Math. J. 37 (1988), 687-698
    • (1988) Indiana Univ. Math. J. , vol.37 , pp. 687-698
    • Escobar, J.F.1
  • 10
    • 84972514611 scopus 로고
    • Scalar curvature and conformal deformations of Riemannian structures
    • J. Kazdan, F. Warner, Scalar curvature and conformal deformations of Riemannian structures. Jour. Diff. Geom. 10 (1975), 113-134
    • (1975) Jour. Diff. Geom. , vol.10 , pp. 113-134
    • Kazdan, J.1    Warner, F.2
  • 11
    • 0000514956 scopus 로고
    • Eigenfunctions of the equation Δu + λf(u) = 0
    • S.I. Pohozaev, Eigenfunctions of the equation Δu + λf(u) = 0. Soviet Math. Doklady 6 (1985), 1408-1411
    • (1985) Soviet Math. Doklady , vol.6 , pp. 1408-1411
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  • 12
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    • F. Rellich, Über das asymptotische Verhalten der Lösungen von Δu + λu = 0 in unendlichen Gebieten. Jahresber. Deutsch. Math. Verein 53 (1943), 57-65
    • (1943) Jahresber. Deutsch. Math. Verein , vol.53 , pp. 57-65
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  • 13
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    • Conformal deformation of a Riemannian metric to constant scalar curvature
    • R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature. J. Diff. Geom. 20 (1984), 479-495
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    • Schoen, R.1
  • 14
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    • The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
    • R. Schoen, The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Comm. on Pure and Appl. Math. 41 (1988) 317-392
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    • Schoen, R.1

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