The Sobolev inequality on the Heisenberg group and the Yamabe problem on CR manifolds (d'après travaux avec J. M. Lee)
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1983-1984), Exposé no. 18, 13 p. 
@article{SEDP_1983-1984____A18_0,
     author = {Jerison, D.},
     title = {The {Sobolev} inequality on the {Heisenberg} group and the {Yamabe} problem on {CR} manifolds (d'apr\`es travaux avec {J.} {M.} {Lee)}},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:18},
     pages = {1--13},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1983-1984},
     mrnumber = {811661},
     zbl = {0634.32016},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1983-1984____A18_0/}
}
TY  - JOUR
AU  - Jerison, D.
TI  - The Sobolev inequality on the Heisenberg group and the Yamabe problem on CR manifolds (d'après travaux avec J. M. Lee)
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:18
PY  - 1983-1984
SP  - 1
EP  - 13
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://www.numdam.org/item/SEDP_1983-1984____A18_0/
LA  - en
ID  - SEDP_1983-1984____A18_0
ER  - 
%0 Journal Article
%A Jerison, D.
%T The Sobolev inequality on the Heisenberg group and the Yamabe problem on CR manifolds (d'après travaux avec J. M. Lee)
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:18
%D 1983-1984
%P 1-13
%I Ecole Polytechnique, Centre de Mathématiques
%U http://www.numdam.org/item/SEDP_1983-1984____A18_0/
%G en
%F SEDP_1983-1984____A18_0
Jerison, D. The Sobolev inequality on the Heisenberg group and the Yamabe problem on CR manifolds (d'après travaux avec J. M. Lee). Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1983-1984), Exposé no. 18, 13 p. http://www.numdam.org/item/SEDP_1983-1984____A18_0/

[1] T. Aubin, "Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire", J. Math. pures et appl.,55 (1976), 269-296. | MR | Zbl

[2] H. Brezis, L. Nirenberg, "Positive solutions of non linear elliptic equations involving critical Sobolev exponents". Comm. P.A.M. (1983) 437-477. | MR | Zbl

[3] H. Brezis, Proceedings, AMS Summer school in non-linear functional analysis (Berkeley 1983).

[4] C. Fefferman, "Monge-Ampère equations, the Bergman Kernel, and geometry of pseudoconvex domains", Annals of Math., 103 (1976), 395-416; correction, Annals of Math., 104 (1976), 393-394. | MR | Zbl

[5] G.B. Folland and E.M. Stein, "Estimates for the ∂ b-complex and analysis on the Heisenberg group", Comm. Pure and Appl. Math. 27 (1974), 429-522. | MR | Zbl

[6] B. Gidas, W.M. Ni, L. Nirenberg, "Symmetry and related properties via the maximum principle" Comm. Math. Phys.68 (1979) 204-243. | MR | Zbl

[7] J.M. Lee, "The Fefferman metric and pseudohermitian invariants", in preparation. | Zbl

[8] P.L. Lions, "Applications de la méthode de concentration-compacité à l'existence de fonctions extrêmals" C.R. Acad. Sci Paris 296 (1983) 645-648. | MR | Zbl

[9] P.L. Lions, "The concentration-compactness principle in the calculus of variations. The limit case Parts I and II" preprint. | MR

[10] M. Obata, "The conjectures on conformal transformations of Riemannian manifolds ", J. Diff. Geom.,6 (1971), 247-258. | MR | Zbl

[11] G. Talenti, "Best constant in Sobolev inequality", Ann. Mat. Pura Appl. 110 (1976), 353-372. | MR | Zbl

[12] N.S. Trudinger "Remarks concerning the conformal deformation of Riemannian structures on compact manifolds". Ann. Sc. Norm. Sup Pisa, 22 (1968) 265-274. | Numdam | MR | Zbl

[13] K. Uhlenbeck, lectures given at Harvard University, 1983.

[14] S.M. Webster, "Pseudohermitian structures on a real hypersurface ", J. Diff. Geom.,13 (1978), 25-41. | MR | Zbl