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Volumn 165, Issue 1, 1999, Pages 117-149

Perturbation of Δu+u(N+2)/(N-2)=0, the Scalar Curvature Problem in RN, and Related Topics

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EID: 0002471035     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3390     Document Type: Article
Times cited : (180)

References (31)
  • 1
  • 2
    • 0002237653 scopus 로고    scopus 로고
    • Variational Perturbative methods and bifurcation of bound states from the essential spectrum
    • Ambrosetti A., Badiale M. Variational Perturbative methods and bifurcation of bound states from the essential spectrum. Proc. Royal Soc. Edinburgh. 128A:1998;1131-1161.
    • (1998) Proc. Royal Soc. Edinburgh , vol.128 , pp. 1131-1161
    • Ambrosetti, A.1    Badiale, M.2
  • 5
    • 0000611553 scopus 로고
    • The Scalar-Curvature problem on the standard three-dimensional sphere
    • Bahri A., Coron J. M. The Scalar-Curvature problem on the standard three-dimensional sphere. J. Funct. Anal. 95:1991;106-172.
    • (1991) J. Funct. Anal. , vol.95 , pp. 106-172
    • Bahri, A.1    Coron, J.M.2
  • 8
    • 0001735158 scopus 로고
    • Remarks on the Schödinger operator with singular complex potentials
    • Brezis H., Kato T. Remarks on the Schödinger operator with singular complex potentials. J. Math. Pures Appl. 58:1979;137-151.
    • (1979) J. Math. Pures Appl. , vol.58 , pp. 137-151
    • Brezis, H.1    Kato, T.2
  • 9
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • Brezis H., Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36:1983;437-477.
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 10
    • 34250074537 scopus 로고
    • The scalar curvature equation on 2- And 3-spheres
    • Chang S. A., Gursky M. J., Yang P. The scalar curvature equation on 2- and 3-spheres. Calc. Var. 1:1993;205-229.
    • (1993) Calc. Var. , vol.1 , pp. 205-229
    • Chang, S.A.1    Gursky, M.J.2    Yang, P.3
  • 11
    • 0042798729 scopus 로고
    • A Morse theoretical approach to the prescribing gaussian curvature problem
    • A. Ambrosetti, & K. C. Chang. New York: Gordon and Breach
    • Chang K. C., Liu J. Q. A Morse theoretical approach to the prescribing gaussian curvature problem. Ambrosetti A., Chang K. C. Variational Methods in Nonlinear Analysis. 1993;55-62 Gordon and Breach, New York.
    • (1993) Variational Methods in Nonlinear Analysis , pp. 55-62
    • Chang, K.C.1    Liu, J.Q.2
  • 14
    • 84972551217 scopus 로고
    • (n+2)/(n-2)=0 and related topics
    • (n+2)/(n-2)=0 and related topics. Duke Math. J. 52:1985;485-506.
    • (1985) Duke Math. J. , vol.52 , pp. 485-506
    • Ding, W.Y.1    Ni, W.M.2
  • 15
    • 0001317209 scopus 로고
    • Conformal metrics with prescribed scalar curvature
    • Escobar J., Schoen R. Conformal metrics with prescribed scalar curvature. Invent. Math. 86:1986;243-254.
    • (1986) Invent. Math. , vol.86 , pp. 243-254
    • Escobar, J.1    Schoen, R.2
  • 18
    • 0010877868 scopus 로고
    • Prescribing the Curbature of a Riemannian Manifolds
    • Providence: Amer. Math. Soc.
    • Kazdan J. L. Prescribing the Curbature of a Riemannian Manifolds. Regional Conf. Series in Math. 57:1984;Amer. Math. Soc. Providence.
    • (1984) Regional Conf. Series in Math. , vol.57
    • Kazdan, J.L.1
  • 19
    • 0000049367 scopus 로고
    • Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvature
    • Kazdan J. L., Warner F. Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvature. Ann. of Math. 101:1971;317-331.
    • (1971) Ann. of Math. , vol.101 , pp. 317-331
    • Kazdan, J.L.1    Warner, F.2
  • 20
    • 0001675486 scopus 로고
    • n and related topics, Part I
    • n and related topics, Part I. J. Differential Equations. 120:1995;319-410.
    • (1995) J. Differential Equations , vol.120 , pp. 319-410
    • Li, Y.Y.1
  • 21
    • 0001233737 scopus 로고    scopus 로고
    • n and related topics, Part II, Existence and compactness
    • n and related topics, Part II, Existence and compactness. Comm. Pure Appl. Math. 49:1996;437-477.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 437-477
    • Li, Y.Y.1
  • 22
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case, part 1
    • Lions P. L. The concentration-compactness principle in the calculus of variations. The limit case, part 1. Rev. Mat. Iberoamericana. 1:1985;541-597.
    • (1985) Rev. Mat. Iberoamericana , vol.1 , pp. 541-597
    • Lions, P.L.1
  • 23
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case, part 2
    • Lions P. L. The concentration-compactness principle in the calculus of variations. The limit case, part 2. Rev. Mat. Iberoamericana. 1:1985;45-121.
    • (1985) Rev. Mat. Iberoamericana , vol.1 , pp. 45-121
    • Lions, P.L.1
  • 24
    • 0002110699 scopus 로고
    • On a nonlinear problem in differential geometry
    • M. Peixoto. San Diego: Academic Press
    • Moser J. On a nonlinear problem in differential geometry. Peixoto M. Dynamical Systems. 1973;273-280 Academic Press, San Diego.
    • (1973) Dynamical Systems , pp. 273-280
    • Moser, J.1
  • 25
    • 0000855213 scopus 로고
    • (n+2)/(n-2)=0, its Generalizations, and Applications to Geometry
    • (n+2)/(n-2)=0, its Generalizations, and Applications to Geometry. Indiana Univ. Math. J. 31:1982;493-529.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 493-529
    • Ni, W.M.1
  • 27
    • 0002944738 scopus 로고
    • The role of the Green's Function in a nonlinear elliptic equation involving the critical Sobolev exponent
    • Rey O. The role of the Green's Function in a nonlinear elliptic equation involving the critical Sobolev exponent. J. Funct. Anal. 89:1990;1-52.
    • (1990) J. Funct. Anal. , vol.89 , pp. 1-52
    • Rey, O.1
  • 28
    • 84990556252 scopus 로고
    • The existence of weak solutions with prescribed singular behavior for a conformaly invariant scalar equation
    • Schoen R. S. The existence of weak solutions with prescribed singular behavior for a conformaly invariant scalar equation. Comm. Pure Appl. Math. 41:1988;317-392.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 317-392
    • Schoen, R.S.1
  • 29
    • 0001107969 scopus 로고
    • Variational theory for the total scalar curvature functional for riemannian metrics and related topics
    • M. Gaquinta. Berlin/New York: Springer-Verlag
    • Schoen R. S. Variational theory for the total scalar curvature functional for riemannian metrics and related topics. Gaquinta M. Topics on Calculus of Variations. Lecture Notes in Mathematics. 1365:1989;120-154 Springer-Verlag, Berlin/New York.
    • (1989) Topics on Calculus of Variations. Lecture Notes in Mathematics , vol.1365 , pp. 120-154
    • Schoen, R.S.1
  • 30
    • 0000471156 scopus 로고
    • Remarks concerning the conformal deformation of Riemannian structures on compact manifolds
    • Trudinger N. Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Ann. Scuola Norm. Sup. Pisa. 22:1968;265-274.
    • (1968) Ann. Scuola Norm. Sup. Pisa , vol.22 , pp. 265-274
    • Trudinger, N.1
  • 31
    • 0002360963 scopus 로고
    • Survey on partial differential equations in differential geometry
    • Yau S. T. Survey on partial differential equations in differential geometry. Ann. of Math. Stud. 102:1982;3-71.
    • (1982) Ann. of Math. Stud. , vol.102 , pp. 3-71
    • Yau, S.T.1


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