A New proof of the CR Pohožaev Identity and related Topics

• Najoua Gamara ^[1] ; Ali Ben Ahmed ^[1] ; Amine Aribi ^[1]
  1. [1] El Manar II Faculté des Sciences de Tunis Département de Mathématiques
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 14, Nº. 2, 2012, págs. 43-59
• Idioma: inglés
• DOI: 10.4067/S0719-06462012000200003
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• Referencias bibliográficas
  • Bahri, A,Coron, J.M. (1988). On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology on the domain....
  • Biagini, S. (1995). Positive solutions for a semilinear equation on the Heisenberg group. Boll. Un.Mat. Ital. 7. 883-900
  • Birindelli, I,Capuzzo Dolcetta, I,Cutri, A. (1998). Idefinite semi-linear equations on the Heisenberg group: a priori bounds and existence....
  • Brandolini, L,Rigoli, M,Setti, A.G. (1998). Positive solutions of Yamabe-type equations on the Heisenberg group. Duke Math. J. 91. 241-296
  • Citti, G,Uguzzoni, F. (2001). Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain. Nonlinear Analysis....
  • Ding, W.Y. (1989). Positive solutions of on contractible domains. Jour-nal.Part.Diff.Equa. 2. 83-88
  • Folland, G.B,Stein, E.M. (1974). Estimates for the complex and Analysis on the Heisenberg group. Comm.Pure Appl. Math. 27. 429-522
  • Gamara, N. (2001). The CR Yamabe conjecture- The case n = 1. J. Eur . Math. Soc. 3. 105-137
  • Gamara, N,Yacoub, R. (2001). CR Yamabe Conjecture: The conformally Flat Case. Pacific. Journal of Mathematics. 201.
  • Garofalo, N,Lanconelli, E. (1990). Frequency functions on the Heisenberg group: the uncertainty principle and unique continuation. Ann. Inst....
  • Garofalo, N,Lanconelli, E. (1992). Existence and nonexistence results for semilinear equations on the Heisenberg group. Indiana. Univ. Math....
  • Jerison, D,Lee, J.M. (1987). The Yamabe Problem on CR manifolds. J.Diff.Geom. 25. 167-197
  • Jerison, D,Lee, J.M. (1989). Intrinsic CR normal coordinates and the CR Yamabe Problem. J.Diff.Geom. 29. 303-343
  • Lanconelli, E,Uguzzoni, F. (1998). Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent...
  • Lanconelli, E,Uguzzoni, F. Non-existence results for semilinear Kohn-Laplace equations in unbounded domains. Comm. Partial Differntial Equations,...
  • McGough, J. (1994). On solution continua of supercritical quasilinear elliptic problems. Diff. Int. Eqns. 7. 1453-1471
  • McGough, J,Mortensen, J. (2003). Pohozzaev Obstructions on Non-Starlike Domains: Calculus of Variations and Partial. Differential Equations....
  • McGough, J,Mortesen, J,Rickett, C,Stubendieck, G. (2005). Domain Geometry and the Pohozzaev Identity. Electronic Journal of Differential Equations....
  • Pohozaev, S.I. (1965). Eigenfunctions of the equation. Soviet Math. Dokl. 6. 1408-1411
  • Pucci, P,Serrin, J. (1986). A general variational identity. Indiana Univ. Math.J. 35. 681-703
  • Schaaf, R. (2000). Uniqueness for semilinear elliptic problems: supercritical growth and domain geometry. Adv. Differential Equations. 5....
  • Uguzzoni, F. (1999). A non-existence theorem for a semilinear Dirichlet problem involving critical exponent on halfspaces of Heisenberg group....
  • Uguzzoni, F. (2000). A note on Yamabe-type equations on the Heisenberg group. Hiroshima Math.J. 30. 179-189