A. Ambrosetti and M. Badiale, Variational perturbative methods and bifurcation of bound states from the essential spectrum, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.110, issue.06, pp.1131-1161, 1998.
DOI : 10.1137/0520076

S. Brendle, Blow-up phenomena for the Yamabe equation, Journal of the American Mathematical Society, vol.21, issue.4, pp.951-979, 2008.
DOI : 10.1090/S0894-0347-07-00575-9

S. Brendle and F. C. Marques, Blow-up phenomena for the Yamabe equation, Journal of the American Mathematical Society, vol.21, issue.4, pp.225-250, 2009.
DOI : 10.1090/S0894-0347-07-00575-9

O. Druet, From One Bubble to Several Bubbles: The Low-Dimensional Case, MR2015469, Zbl 1070.53017 [6] , Compactness for Yamabe metrics in low dimensions, pp.399-473, 2003.
DOI : 10.4310/jdg/1090426771

O. Druet and E. Hebey, Blow-up examples for second order elliptic PDEs of critical Sobolev growth MR2115082, Zbl 1061.58017 [8] , Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium, Anal, Transactions of the American Mathematical Society, vol.357, issue.05, pp.1915-1929, 2005.
DOI : 10.1090/S0002-9947-04-03681-5

O. Druet, E. Hebey, and F. Robert, Blow-up theory for elliptic PDEs in Riemannian geometry, Mathematical Notes, vol.45, p.58017, 1059.
DOI : 10.1515/9781400826162

P. Esposito, A. Pistoia, and J. Vétois, The effect of linear perturbations on the Yamabe problem, Mathematische Annalen, vol.12, issue.1, pp.511-560, 2014.
DOI : 10.1007/s00208-013-0971-9
URL : https://hal.archives-ouvertes.fr/hal-00769040

M. A. Khuri, F. C. Marques, and R. M. Schoen, A compactness theorem for the Yamabe problem, Journal of Differential Geometry, vol.81, issue.1, pp.143-196, 2009.
DOI : 10.4310/jdg/1228400630

J. M. Lee and T. H. Parker, The Yamabe problem, Bulletin of the American Mathematical Society, vol.17, issue.1, pp.37-91, 1987.
DOI : 10.1090/S0273-0979-1987-15514-5

Y. Y. Li and L. Zhang, Compactness of solutions to the Yamabe problem, Comptes Rendus Mathematique, vol.338, issue.9, pp.438-474, 2007.
DOI : 10.1016/j.crma.2004.02.018

Y. Y. Li and M. J. Zhu, YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS, Communications in Contemporary Mathematics, vol.01, issue.01, pp.1-50, 1999.
DOI : 10.1142/S021919979900002X

F. C. Marques, A priori estimates for the Yamabe problem in the non-locally conformally flat case, Journal of Differential Geometry, vol.71, issue.2, pp.315-346, 2005.
DOI : 10.4310/jdg/1143651772

F. Robert and J. Vétois, A general theorem for the construction of blowing-up solutions to some elliptic nonlinear equations via Lyapunov-Schmidt's reduction , Concentration Compactness and Profile Decomposition, Trends in Mathematics, pp.85-116

R. M. Schoen, On the number of constant scalar curvature metrics in a conformal class, Differential geometry, Pitman Monogr, Surveys Pure Appl. Math. Longman Sci. Tech. Zbl, vol.52, issue.733, pp.311-32053021, 1988.

M. Struwe, A global compactness result for elliptic boundary value problems involving limiting nonlinearities, Mathematische Zeitschrift, vol.75, issue.4, pp.511-517, 1984.
DOI : 10.1007/BF01174186

F. Robert and I. Cartan, F-54506 Vandoeuvre-l` es-Nancy