Computation of the difference of topology at infinity for Yamabe-type problems on annuli-domains, II

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Computation of the difference of topology at infinity for Yamabe-type problems on annuli-domains, II

Mohameden O. Ahmedou and Khalil O. El Mehdi

Source: Duke Math. J. Volume 94, Number 2 (1998), 231-255.

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See also: Mohameden O. Ahmedou, Khalil O. El Mehdi. Computation of the difference of topology at infinity for Yamabe-type problems on annuli-domains, I. Duke Math. J. Vol. 94, No. 2 (1998), pp. 215–229.

Project Euclid: euclid.dmj/1077230271

Primary Subjects: 35J65

Secondary Subjects: 47J30, 58E05

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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077230272
Mathematical Reviews number (MathSciNet): MR1638658
Zentralblatt MATH identifier: 0966.35043
Digital Object Identifier: doi:10.1215/S0012-7094-98-09412-1

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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] A. Bahri and J.-M. Coron, Vers une théorie des points critiques à l'infini, Bony-Sjöstrand-Meyer Seminar 1984–1985, 8, Ecole Polytech., Palaiseau, 1985.

Mathematical Reviews (MathSciNet): MR87k:58048

Zentralblatt MATH: 0585.58004

[3] 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

[4] 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

[5] 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

[6] 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

[7] M. O. Ahmedou and K. O. El Mehdi, Computation of the difference of topology at infinity for Yamabe-type problems on annuli-domains, I, Duke Math. J. 94 (1998), 215–229.

Zentralblatt MATH: 0966.35043

[8] O. Rey, The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent, J. Funct. Anal. 89 (1990), no. 1, 1–52.

Mathematical Reviews (MathSciNet): MR91b:35012

Zentralblatt MATH: 0786.35059

Digital Object Identifier: doi:10.1016/0022-1236(90)90002-3

[9] 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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