An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
Abbas Bahri
Source: Duke Math. J. Volume 81, Number 2
(1996), 323-466.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077245672
Mathematical Reviews number (MathSciNet): MR1395407
Zentralblatt MATH identifier: 0856.53028
Digital Object Identifier: doi:10.1215/S0012-7094-96-08116-8
References
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Mathematical Reviews (MathSciNet): MR1201598
Zentralblatt MATH: 0804.53053
[2] A. Bahri, Letter to various mathematicians pointing out a gap in [1].
[3] A. Bahri, Critical points at infinity in some variational problems, Pitman Research Notes in Mathematics Series, vol. 182, Longman Scientific & Technical, Harlow, 1989.
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[4] A. Bahri and P. H. Rabinowitz, Periodic solutions of Hamiltonian systems of $3$-body type, Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991), no. 6, 561–649.
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[5] J. Milnor, Lectures on the $h$-cobordism theorem, Notes by L. Siebenmann and J. Sondow, Princeton University Press, Princeton, N.J., 1965.
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[6] A. Floer, Cuplength estimates on Lagrangian intersections, Comm. Pure Appl. Math. 42 (1989), no. 4, 335–356.
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Digital Object Identifier: doi:10.1002/cpa.3160420402
[7] C. H. Taubes, Path connected Yang-Mills moduli spaces, J. Differential Geom. 19 (1984), no. 2, 337–392.
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[8]1 P. L. Lions, The concentration compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana 1 (1985), no. 1, 145–201.
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[8]2 P. L. Lions, The concentration compactness principle in the calculus of variations. The limit case. II, Rev. Mat. Iberoamericana 1 (1985), no. 2, 45–121.
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[9] A. Bahri, Addenda to the book Critical Points at Infinity in Some Variational Problems [3] and to the paper “The scalar-curvature problem on the standard three-dimensional sphere”, preprint.
[10] A. Bahri and J. M. Coron, On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain, Comm. Pure Appl. Math. 41 (1988), no. 3, 253–294.
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[11] A. Bahri and H. Brezis, Nonlinear elliptic equations involving the critical Sobolev exponent on manifolds, C. R. Acad. Sci. Paris Ser. I Math. 307 (1988), 537–576. Related paper to appear in a volume dedicated to the memory of E. D'Atri.
Mathematical Reviews (MathSciNet): MR967364
[12] A. Bahri and P. L. Lions, On the existence of a positive solution to semi-linear elliptic equations in $\mathbbR^n$, preprint.
[13] M. Struwe, A global compactness result for elliptic boundary value problems involving limiting nonlinearities, Math. Z. 187 (1984), no. 4, 511–517.
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Digital Object Identifier: doi:10.1007/BF01174186
[14] A. Bahri, Y. Chen, and L. Ma, Multiplicity results for the scalar-curvature problem in dimensions $3$ and $4$, preprint.
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