The Sobolev inequality on the Heisenberg group and the Yamabe problem on CR manifolds (d'après travaux avec J. M. Lee)

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1. [1] T. Aubin, "Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire", J. Math. pures et appl.,55 (1976), 269-296. Zbl0336.53033MR431287
2. [2] H. Brezis, L. Nirenberg, "Positive solutions of non linear elliptic equations involving critical Sobolev exponents". Comm. P.A.M. (1983) 437-477. Zbl0541.35029MR709644
3. [3] H. Brezis, Proceedings, AMS Summer school in non-linear functional analysis (Berkeley1983). 
4. [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. Zbl0322.32012MR407320
5. [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. Zbl0293.35012
6. [6] B. Gidas, W.M. Ni, L. Nirenberg, "Symmetry and related properties via the maximum principle" Comm. Math. Phys.68 (1979) 204-243. Zbl0425.35020MR544879
7. [7] J.M. Lee, "The Fefferman metric and pseudohermitian invariants", in preparation. Zbl0595.32026
8. [8] P.L. Lions, "Applications de la méthode de concentration-compacité à l'existence de fonctions extrêmals" C.R. Acad. Sci Paris296 (1983) 645-648. Zbl0522.49008MR705681
9. [9] P.L. Lions, "The concentration-compactness principle in the calculus of variations. The limit case Parts I and II" preprint. 
10. [10] M. Obata, "The conjectures on conformal transformations of Riemannian manifolds ", J. Diff. Geom.,6 (1971), 247-258. Zbl0236.53042MR303464
11. [11] G. Talenti, "Best constant in Sobolev inequality", Ann. Mat. Pura Appl.110 (1976), 353-372. Zbl0353.46018MR463908
12. [12] N.S. Trudinger "Remarks concerning the conformal deformation of Riemannian structures on compact manifolds". Ann. Sc. Norm. Sup Pisa, 22 (1968) 265-274. Zbl0159.23801MR240748
13. [13] K. Uhlenbeck, lectures given at Harvard University, 1983. 
14. [14] S.M. Webster, "Pseudohermitian structures on a real hypersurface ", J. Diff. Geom.,13 (1978), 25-41. Zbl0379.53016MR520599

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