메뉴 건너뛰기




Volumn 3, Issue 12, 1997, Pages 83-89

On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups

Author keywords

A priori estimates; Asymptotic behavior; Heisenberg group; Positive entire solutions; Stratified group; Yamabe problem

Indexed keywords


EID: 85009821177     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-97-00029-2     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 0001949224 scopus 로고    scopus 로고
    • On the existence of positive solutions of Yamabe-type equations on the Heisenberg group
    • Dec
    • L. Brandolini, M. Rigoli, and A. G. Setti, On the existence of positive solutions of Yamabe-type equations on the Heisenberg group, Electronic research announcements of the AMS, Dec. 1996, 2 (1996), 101-107.
    • (1996) Electronic Research Announcements of the AMS , vol.2 , Issue.1996 , pp. 101-107
    • Brandolini, L.1    Rigoli, M.2    Setti, A.G.3
  • 2
    • 0001027384 scopus 로고
    • Semilinear Dirichlet problem involving critical exponenent for the Kohn Laplacian
    • MR 96j:35071
    • G. Citti, Semilinear Dirichlet problem involving critical exponenent for the Kohn Laplacian, Annali di Mate. Pura Appl. 169 (1995), 375-392. MR 96j:35071
    • (1995) Annali Di Mate. Pura Appl , vol.169 , pp. 375-392
    • Citti, G.1
  • 3
    • 0000309130 scopus 로고
    • On the structure of the conformal scalar curvature equation on Rn, Indiana Univ
    • MR 93g:35040
    • K. S. Cheng and W.-M. Ni, On the structure of the conformal scalar curvature equation on Rn, Indiana Univ. Math. J. 41 (1992), 261-278. MR 93g:35040
    • (1992) Math. J , vol.41 , pp. 261-278
    • Cheng, K.S.1    Ni, W.-M.2
  • 5
    • 0002739785 scopus 로고
    • Existence and nonexistence results for semilinear equations on the Heisenberg group
    • MR 93h:35071
    • N. Garofalo and E. Lanconelli, Existence and nonexistence results for semilinear equations on the Heisenberg group, Indiana Univ. Math. J. 41 (1992), 71-98. MR 93h:35071
    • (1992) Indiana Univ. Math. J , vol.41 , pp. 71-98
    • Garofalo, N.1    Lanconelli, E.2
  • 6
    • 15244346736 scopus 로고
    • Hypoelliptic second order differential equations
    • MR 36:5526
    • L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147-171. MR 36:5526
    • (1967) Acta Math , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 7
    • 0001214546 scopus 로고
    • The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, I, II
    • MR 83c:58081a; MR 83c:58081b
    • D. Jerison, The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, I, II, J. Functional Anal. 43 (1981), 97-142, 224-257. MR 83c:58081a; MR 83c:58081b
    • (1981) J. Functional Anal. 43 , vol.97-142 , pp. 224-257
    • Jerison, D.1
  • 8
    • 84972529948 scopus 로고
    • The Yamabe problem on CR manifolds
    • MR 88i:58162
    • D. Jerison and J. M. Lee, The Yamabe problem on CR manifolds, J. Diff. Geom. 25 (1987), 167-197. MR 88i:58162
    • (1987) J. Diff. Geom , vol.25 , pp. 167-197
    • Jerison, D.1    Lee, J.M.2
  • 9
    • 84972538885 scopus 로고
    • Intrinsic CR normal coordinates and the CR Yamabe problem
    • MR 90h:58083
    • D. Jerison and J. M. Lee, Intrinsic CR normal coordinates and the CR Yamabe problem, J. Diff. Geom. 29 (1989), 303-343. MR 90h:58083
    • (1989) J. Diff. Geom , vol.29 , pp. 303-343
    • Jerison, D.1    Lee, J.M.2
  • 10
    • 84968516099 scopus 로고
    • Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem
    • MR 89b:53063
    • D. Jerison and J. M. Lee, Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem, J. Amer. Math. Soc. 1 (1988), 1-13. MR 89b:53063
    • (1988) J. Amer. Math. Soc , vol.1 , pp. 1-13
    • Jerison, D.1    Lee, J.M.2
  • 11
    • 84972568004 scopus 로고
    • On conformal scalar curvature equations in ℝ
    • MR 90a:58187
    • n, Duke Math. Journal, 57 (1988), 895-924. MR 90a:58187
    • (1988) Duke Math. Journal , vol.57 , pp. 895-924
    • Li, Y.1    Ni, W.-M.2
  • 12
    • 85009826436 scopus 로고
    • unpublished manuscript
    • G. Lu, unpublished manuscript, 1994.
    • (1994)
    • Lu, G.1
  • 13
    • 0000855213 scopus 로고
    • On the elliptic equation (Formula Presented), its generalization and applications in geometry, Indiana Univ
    • MR 84e:35049
    • W.-M. Ni, On the elliptic equation (Formula Presented), its generalization and applications in geometry, Indiana Univ. Math. J. 31 (1982), 493-529. MR 84e:35049
    • (1982) Math. J , vol.31 , pp. 493-529
    • Ni, W.-M.1
  • 15
    • 84972492831 scopus 로고
    • Pseudo-Hermitian structures on a real hypersurface
    • MR 80e:32015
    • S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Diff. Geom. 13 (1978), 25-41. MR 80e:32015
    • (1978) J. Diff. Geom , vol.13 , pp. 25-41
    • Webster, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.