A Morse lemma at infinity for Yamabe type problems on domains

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1. [1] Ahmedou M., El Mehdi K., Computation of the difference of topology at infinity for Yamabe-type problem on annuli-domains, Duke Math. J.94 (1998), I: 215–229, II: 231–255. Zbl0966.35043MR1638658
2. [2] Ahmedou M., El Mehdi K., On an elliptic problem with critical nonlinearity in expanding annuli, J. Funct. Anal.163 (1999) 29-62. Zbl0954.35068MR1682847
3. [3] Bahri A., Critical Points at Infinity in Some Variational Problems, Pitman Res. Notes Math. Ser., 182, Longman, Harlow, 1989. Zbl0676.58021MR1019828
4. [4] Bahri A., An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension, Duke Math. J.281 (1996) 323-466. Zbl0856.53028MR1395407
5. [5] A. Bahri, Scalar-curvature problems in high dimension spheres, to appear. 
6. [6] Bahri A., Coron J.M., On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology on the domain, Comm. Pure Appl. Math.41 (1988) 253-294. Zbl0649.35033MR929280
7. [7] Bahri A., Coron J.M., The scalar curvature problem on the standard three-dimensional sphere, J. Func. Anal.95 (1991) 106-172. Zbl0722.53032MR1087949
8. [8] Bahri A., Li Y., Rey O., On a variational problem with lack of compactness: The topological effect of the critical points at infinity, Calc. Var. Partial Differential Equations3 (1995) 67-94. Zbl0814.35032MR1384837
9. [9] Ben Ayed M., Chen Y., Chtioui H., Hammami M., On the prescribed scalar curvature problem on 4-manifolds, Duke Math. J.84 (1996) 633-667. Zbl0862.53034MR1408540
10. [10] Ben Ayed M., Chtioui H., Hammami M., The scalar-curvature problem on higher dimensional spheres, Duke Math. J.93 (1998) 379-424. Zbl0977.53035MR1625991
11. [11] Brezis H., Coron J.M., Convergence of solutions of H-systems or how to blow bubbles, Arch. Rational Mech. Anal.89 (1985) 21-56. Zbl0584.49024MR784102
12. [12] Rey O., The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent, J. Funct. Anal.89 (1990) 1-52. Zbl0786.35059MR1040954
13. [13] Sacks J., Uhlenbeck K., The existence of minimal immersion of 2-spheres, Ann. Math. (2)113 (1981) 1-24. Zbl0462.58014MR604040
14. [14] Sedlacek S., A direct method for minimizing the Yang–Mills functional over 4-manifolds, Comm. Math. Phys.86 (1982) 515-527. Zbl0506.53016MR679200
15. [15] Struwe M., A global compactness result for elliptic boundary value problem involving limiting nonlinearities, Math. Z.187 (1984) 511-517. Zbl0535.35025MR760051
16. [16] Taubes C.H., Path-connected Yang–Mills moduli spaces, J. Differential Geom.19 (1984) 337-392. Zbl0551.53040MR755230