Perturbation methods and semilinear elliptic problems on R n, Progress in Mathematics, vol.240, 2006. ,
Le spectre d'une variété riemannienne, Lecture Notes in Mathematics, vol.194, 1971. ,
DOI : 10.1007/bfb0064646
A note on the Sobolev inequality, Journal of Functional Analysis, vol.100, issue.1, pp.18-24, 1991. ,
DOI : 10.1016/0022-1236(91)90099-Q
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
URL : http://arxiv.org/abs/0905.3840
Standing Waves for Nonlinear Schr??dinger Equations with a General Nonlinearity, Archive for Rational Mechanics and Analysis, vol.153, issue.1, pp.185-200, 2007. ,
DOI : 10.1007/s00205-006-0019-3
Infinitely many solutions for the Schr??dinger equations in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math> with critical growth, Journal of Differential Equations, vol.252, issue.3, pp.2425-2447, 2012. ,
DOI : 10.1016/j.jde.2011.09.032
Real analyticity and non-degeneracy [8] , Peak solutions without non-degeneracy conditions, Math. Ann. J. Differential Equations, vol.325, issue.246 8, pp.369-392, 2003. ,
DOI : 10.1007/s00208-002-0352-2
Local mountain passes for semilinear elliptic problems in unbounded domains, Calculus of Variations and Partial Differential Equations, vol.153, issue.2, pp.121-137, 1996. ,
DOI : 10.1007/BF01189950
Large energy entire solutions for the Yamabe equation Torus action on S n and sign-changing solutions for conformally invariant equations, J. Differential Equations Ann. Sc. Norm. Super. Pisa Cl. Sci, vol.25111, issue.95 1, pp.2568-2597, 2011. ,
Compactness for Yamabe metrics in low dimensions, Int. Math. Res. Not, vol.23, pp.1143-1191, 2004. ,
Blow-up examples for second order elliptic PDEs of critical Sobolev growth, Transactions of the American Mathematical Society, vol.357, issue.05, pp.1915-1929, 2005. ,
DOI : 10.1090/S0002-9947-04-03681-5
URL : https://hal.archives-ouvertes.fr/hal-00096398
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
Resonant states for the static Klein???Gordon???Maxwell???Proca system, Mathematical Research Letters, vol.19, issue.4, pp.953-967, 2012. ,
DOI : 10.4310/MRL.2012.v19.n4.a18
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities, Calc, Var. Partial Differential Equations, vol.21, pp.287-318, 2004. ,
A compactness theorem for the Yamabe problem, Journal of Differential Geometry, vol.81, issue.1, pp.143-196, 2009. ,
DOI : 10.4310/jdg/1228400630
Yamabe metrics and conformal transformations, Tohoku Mathematical Journal, vol.44, issue.2, pp.44-251, 1992. ,
DOI : 10.2748/tmj/1178227341
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
Nondegeneracy of nonradial nodal solutions to Yamabe problem ,
The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geom, vol.672, pp.247-258, 1971. ,
Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds, Journal of Differential Equations, vol.254, issue.11, pp.4245-4278, 2013. ,
DOI : 10.1016/j.jde.2013.02.017
URL : https://hal.archives-ouvertes.fr/hal-00862403
The role of the Green's function in a non-linear elliptic equation involving the critical Sobolev exponent, Journal of Functional Analysis, vol.89, issue.1, pp.1-52, 1990. ,
DOI : 10.1016/0022-1236(90)90002-3
Sign-Changing Blow-Up for Scalar Curvature Type Equations 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.1437-1465, 2013. ,
On the number of constant scalar curvature metrics in a conformal class, Differential geometry, Pitman Monogr, Surveys Pure Appl. Math. Longman Sci. Tech, vol.52, pp.311-320, 1991. ,
F-54506 Vandoeuvre-l` es, Pacific Institute for the Mathematical Sciences , UMI CNRS 3069 Main Mall, pp.4176-2207 ,