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Volumn 91, Issue 2, 1998, Pages 241-296

Positive solutions of yamabe-type equations on the heisenberg group

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EID: 0000536514     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-98-09112-8     Document Type: Article
Times cited : (22)

References (24)
  • 1
    • 84972505073 scopus 로고
    • Conformai deformation to constant negative scalar curvature on noncompact Riemannian manifolds
    • P. Avilés and R. McOwen, Conformai deformation to constant negative scalar curvature on noncompact Riemannian manifolds, J. Differential Geom. 27 (1988), 225-239.
    • (1988) J. Differential Geom , vol.27 , pp. 225-239
    • Avilés, P.1    McOwen, R.2
  • 2
    • 85037919525 scopus 로고    scopus 로고
    • Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds
    • to appear
    • B. Bianchini and M. Rigoli, Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds, Trans. Amer. Math. Soc., to appear.
    • Trans. Amer. Math. Soc
    • Bianchini, B.1    Rigoli, M.2
  • 3
    • 0000376647 scopus 로고
    • Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés
    • Grenoble
    • Jean-Michel Bony, Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés, Ann. Inst. Fourier (Grenoble) 19 (1969), 277-304.
    • (1969) Ann. Inst. Fourier , vol.19 , pp. 277-304
    • Bony, J.-M.1
  • 5
    • 0000309130 scopus 로고
    • On the structure of the conformai scalar curvature equation on IR", Indiana Univ
    • K. S. Cheng and W. M. Ni, On the structure of the conformai scalar curvature equation on IR", Indiana Univ. Math. J. 41 (1992), 261-278.
    • (1992) Math. J , vol.41 , pp. 261-278
    • Cheng, K.S.1    Ni, W.M.2
  • 6
    • 84980187204 scopus 로고
    • The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature
    • D. Fischer-Colbrie and R. Schoen, The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature, Comm. Pure Appl. Math. 33 (1980), 199-211.
    • (1980) Comm. Pure Appl. Math , vol.33 , pp. 199-211
    • Fischer-Colbrie, D.1    Schoen, R.2
  • 7
    • 84980130284 scopus 로고
    • Estimates for the db complex and analysis on the Heisenberg group
    • G. B. Folland and E. M. Stein, Estimates for the db complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522.
    • (1974) Comm. Pure Appl. Math. , vol.27 , pp. 429-522
    • Folland, G.B.1    Stein, E.M.2
  • 8
    • 0000422319 scopus 로고
    • Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation
    • Grenoble
    • N. Garofalo and E. Lanconelli, Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation, Ann. Inst. Fourier (Grenoble) 40 (1990), 313-356.
    • (1990) Ann. Inst. Fourier , vol.40 , pp. 313-356
    • Garofalo, N.1    Lanconelli, E.2
  • 9
    • 34250287820 scopus 로고
    • Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents
    • B. Gaveau, Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents, Acta Math. 139 (1977), 95-153.
    • (1977) Acta Math , vol.139 , pp. 95-153
    • Gaveau, B.1
  • 10
    • 0003259061 scopus 로고
    • Elliptic Partial Differential Equations of Second Order, 2d éd
    • Springer-Verlag, New York
    • D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2d éd., Grundlehren Math. Wiss. 224, Springer-Verlag, New York, 1983.
    • (1983) Grundlehren Math. Wiss , vol.224
    • Gilbarg, D.1    Trudinger, N.S.2
  • 11
    • 15244346736 scopus 로고
    • Hypoelliptic second order differential equations
    • L. Hôrmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147-171.
    • (1967) Acta Math , vol.119 , pp. 147-171
    • Hôrmander, L.1
  • 12
    • 0001214546 scopus 로고
    • The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, II
    • D. Jerison, The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, II, J. Funct. Anal. 43 (1981), 224-257.
    • (1981) J. Funct. Anal , vol.43 , pp. 224-257
    • Jerison, D.1
  • 13
    • 0009323638 scopus 로고
    • A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds
    • Microlocal Analysis (Boulder, Colo., 1983), Providence
    • D. Jerison and J. M. Lee, “A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds” in Microlocal Analysis (Boulder, Colo., 1983), Contemp. Math. 27, Amer. Math. Soc., Providence, 1994, 57-63.
    • (1994) Contemp. Math. 27, Amer. Math. Soc , pp. 57-63
    • Jerison, D.1    Lee, J.M.2
  • 14
    • 84972529948 scopus 로고
    • The Yamabe problem on CR manifolds
    • D. Jerison and J. M. Lee, The Yamabe problem on CR manifolds, J. Differential Geom. 25 (1987), 167-197.
    • (1987) J. Differential Geom , vol.25 , pp. 167-197
    • Jerison, D.1    Lee, J.M.2
  • 15
    • 84968516099 scopus 로고
    • Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe prob lem
    • D. Jerison and J. M. Lee, Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe prob lem, J. Amer. Math. Soc. 1 (1988), 1-13.
    • (1988) J. Amer. Math. Soc , vol.1 , pp. 1-13
    • Jerison, D.1    Lee, J.M.2
  • 16
    • 84972582668 scopus 로고
    • A note on bounded positive entire solutions of semilinear elliptic equations
    • M. Naito, A note on bounded positive entire solutions of semilinear elliptic equations, Hiroshima Math. J. 14 (1984), 211-214.
    • (1984) Hiroshima Math. J , vol.14 , pp. 211-214
    • Naito, M.1
  • 17
    • 0000855213 scopus 로고
    • On the elliptic equation Au 4- K(X)u^n+2^^n∼2^ — 0, its generalizations, and applications in geometry, Indiana Univ
    • 2^ — 0, its generalizations, and applications in geometry, Indiana Univ. Math. J. 31 (1982), 493-529.
    • (1982) Math. J , vol.31 , pp. 493-529
    • Ni, W.M.1
  • 19
    • 0041002081 scopus 로고
    • Courbure scalaire et déformations conformes des variétés riemanniennes non compactes
    • A. Ratto, M. Rigoli, and L. Véron, Courbure scalaire et déformations conformes des variétés riemanniennes non compactes, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), 665-670.
    • (1994) C. R. Acad. Sci. Paris Sér. I Math , vol.318 , pp. 665-670
    • Ratto, A.1    Rigoli, M.2    Véron, L.3
  • 20
    • 0003714787 scopus 로고
    • Topics in Stability and Bifurcation Theory
    • Springer Verlag, Berlin
    • D. Sattinger, Topics in Stability and Bifurcation Theory, Lecture Notes in Math. 309, Springer Verlag, Berlin, 1973.
    • (1973) Lecture Notes in Math , vol.309
    • Sattinger, D.1
  • 21
    • 0000195746 scopus 로고
    • Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
    • Grenoble
    • G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965), 189-258.
    • (1965) Ann. Inst. Fourier , vol.15 , pp. 189-258
    • Stampacchia, G.1
  • 22
    • 0003552286 scopus 로고
    • Harmonie Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
    • Princeton Univ. Press, Princeton
    • E. M. Stein, Harmonie Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Math. Series 43, Princeton Univ. Press, Princeton, 1993.
    • (1993) Princeton Math. Series , vol.43
    • Stein, E.M.1
  • 23
    • 0345857709 scopus 로고
    • Comparison and Oscillation Theory of Linear Differential Equations
    • Academic Press, New York
    • C. A. Swanson, Comparison and Oscillation Theory of Linear Differential Equations, Math. Sci. Engrg. 48, Academic Press, New York, 1968.
    • (1968) Math. Sci. Engrg , vol.48
    • Swanson, C.A.1


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