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References
Aubin, T.: Meilleures constantes dans le théorème d'inclusion de Sobolev et un théoréme de Fredholm non linéaire pour la transformation conforme de la courbure scalaire. J. Funct. Anal.32, 148–174 (1979)
Aubin, T.: The scalar curvature. In: Cahen, M., Flato, M. (eds.) Differential geometry and relativity, pp. 5–18. Dordrecht: Reidel 1976
Brezis, H.: Some variational problems with lack of compactness. In: Browder, F.E. (ed.) Nonlinear functional analysis and its applications. (Proc. Symp. Pure Math., vol. 45, part 1, pp. 165–201) Providence, Rhode Island: Am. Math. Soc. 1986
Brezis, H., Lieb, E.: A relation between pointwise convergence of functions and convergence of integrals. Proc. Am. Math. Soc.88, 486–490 (1983)
Chang, S.Y., Yang, P.C.: Prescribing Gaussian curvatures onS 2. Acta Math.159, 215–259 (1987)
Kulkarni, R.S., Pinkall, U.: Conformal geometry. (Aspects Math., vol. 12) Braunschweig: Vieweg 1988
Obata, M.: The conjecture on conformal transformations of Riemannian manifolds. J. Differ. Geom.6, 247–258 (1971)
Onofri, E.: On the positivity of the effective action in a theory of random surface. Commun. Math. Phys.86, 321–326 (1982)
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Dedicated to Professor Masahisa Adachi on his 60th birthday
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Kawai, S. Concerning a type of Sobolev inequality on the sphere. Math. Ann. 293, 7–16 (1992). https://doi.org/10.1007/BF01444699
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DOI: https://doi.org/10.1007/BF01444699