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Computation of the difference of topology at infinity for Yamabe-type problems on annuli-domains, I
Mohameden O. Ahmedou and Khalil O. El Mehdi
Source: Duke Math. J. Volume 94, Number 2
(1998), 215-229.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077230271
Mathematical Reviews number (MathSciNet): MR1638658
Zentralblatt MATH identifier: 0966.35043
Digital Object Identifier: doi:10.1215/S0012-7094-98-09411-X
References
[1] T. Aubin, Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire, J. Math. Pures Appl. (9) 55 (1976), no. 3, 269–296.
Mathematical Reviews (MathSciNet): MR55:4288
Zentralblatt MATH: 0336.53033
[2] T. Aubin, Problèmes isopérimétriques et espaces de Sobolev, J. Differential Geom. 11 (1976), no. 4, 573–598.
Mathematical Reviews (MathSciNet): MR56:6711
Zentralblatt MATH: 0371.46011
Project Euclid: euclid.jdg/1214433725
[3] A. Bahri, Critical Points at Infinity in Some Variational Problems, Pitman Res. Notes Math. Ser., vol. 182, Longman Sci. Tech., Harlow, 1989.
Mathematical Reviews (MathSciNet): MR91h:58022
Zentralblatt MATH: 0676.58021
[4] A. Bahri and J. M. Coron, Vers une théorie des points critiques à l'infini, Bony-Sjöstrand-Meyer seminar, 1984–1985, École Polytech., Palaiseau, 1985, Exp. No. 8, 24.
Mathematical Reviews (MathSciNet): MR87k:58048
Zentralblatt MATH: 0585.58004
[5] A. Bahri and J. M. Coron, Une théorie des points critiques à l'infini pour l'équation de Yamabe et le problème de Kazdan-Warner, C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), no. 15, 513–516.
Mathematical Reviews (MathSciNet): MR86f:58161
Zentralblatt MATH: 0585.58005
[6] A. Bahri, Y. Y. Li, and O. Rey, On a variational problem with lack of compactness: the topological effect of the critical points at infinity, Calc. Var. Partial Differential Equations 3 (1995), no. 1, 67–93.
Mathematical Reviews (MathSciNet): MR98c:35049
Zentralblatt MATH: 0814.35032
Digital Object Identifier: doi:10.1007/BF01190892
[7] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Grundlehren Math. Wiss., vol. 224, Springer-Verlag, Berlin, 1977.
Mathematical Reviews (MathSciNet): MR57:13109
Zentralblatt MATH: 0361.35003
[8] J. Kazdan, Prescribing the curvature of a Riemannian manifold, CBMS Regional Conf. Ser. in Math., vol. 57, Conf. Board Math. Sci., Washington, D.C., 1985.
Mathematical Reviews (MathSciNet): MR86h:53001
Zentralblatt MATH: 0561.53048
[9] E. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. (2) 118 (1983), no. 2, 349–374.
Mathematical Reviews (MathSciNet): MR86i:42010
Zentralblatt MATH: 0527.42011
Digital Object Identifier: doi:10.2307/2007032
JSTOR: links.jstor.org
[10] G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl. (4) 110 (1976), 353–372.
Mathematical Reviews (MathSciNet): MR57:3846
Zentralblatt MATH: 0353.46018
Digital Object Identifier: doi:10.1007/BF02418013
[11] H. Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J. 12 (1960), 21–37.
Mathematical Reviews (MathSciNet): MR23:A2847
Zentralblatt MATH: 0096.37201
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