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B. Gidas, Symmetry and Isolated Singularities of Conformally Flat Metrics and of Solutions of the Yang-Mills Equations. Seminar on Diff. Geo., 423–442, edited by S.T. Yau, 1982 Princeton Press.
J. Kazdan, Prescribing the Curvature of a Riemannian Manifold, Expository Lectures from the CBMS Regional Conference held at Polytechnic Institute of New York 1984.
N. Trüdinger, Remarks Concerning the Conformal Deformation of Riemannian Structures of Compact Manifolds, Ann. Scuola Norm. Sup. Pisa 3, 265–274 (1968)
P. Aviles, A Study of the Singularities of Solutions of a Class of Nonlinear Elliptic Partial Differential Equations. Comm. in PDE, 7(6), 609–643, (1982)
R. Schoen, Conformal Deformation of a Riemannian Metric to Constant Scalar Curvature, J. Diff. Geo. 20(1984), 479–495.
S.T. Yau, Problem Section, Seminar on Diff. Geo. 669–706, edited by S.T. Yau, 1982, Princeton Press.
T. Aubin, Best Constants in the Sobolev Imbedding Theorem; The Yamabe Problem, Siminar on Diff. Geo. 173–194, edited by S.T. Yau, 1982, Princeton Press.
W.N. Ni, On the Elliptic Equation Δu+Ku(n+2)/(n−2)=0, its Generalization and Application in Geometry, India Uni. Math. Journal, vol 31, 4(1982), 493–529.
H. Yamabe, On a Deformation of Riemannian Structures on Compact Manifolds, Osaka Math. J. 12, 21–37(1960).
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© 1988 Springer-Verlag
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Zhiren, J. (1988). A counterexample to the Yamabe problem for complete noncompact manifolds. In: Chern, Ss. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082927
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DOI: https://doi.org/10.1007/BFb0082927
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