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Constant scalar curvature metrics with isolated singularities
Rafe Mazzeo and Frank Pacard
Source: Duke Math. J. Volume 99, Number 3
(1999), 353-418.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077227909
Mathematical Reviews number (MathSciNet): MR1712628
Zentralblatt MATH identifier: 0945.53024
Digital Object Identifier: doi:10.1215/S0012-7094-99-09913-1
References
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[2] D. Finn, On the negative case of the singular Yamabe problem, to appear in J. Geom. Anal.
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[5] Rafe Mazzeo, Regularity for the singular Yamabe problem, Indiana Univ. Math. J. 40 (1991), no. 4, 1277–1299.
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[6] Rafe Mazzeo and Frank Pacard, A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis, J. Differential Geom. 44 (1996), no. 2, 331–370.
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Project Euclid: euclid.jdg/1214458975
[7] Rafe Mazzeo, Daniel Pollack, and Karen Uhlenbeck, Connected sum constructions for constant scalar curvature metrics, Topol. Methods Nonlinear Anal. 6 (1995), no. 2, 207–233.
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[8] Rafe Mazzeo, Daniel Pollack, and Karen Uhlenbeck, Moduli spaces of singular Yamabe metrics, J. Amer. Math. Soc. 9 (1996), no. 2, 303–344.
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Digital Object Identifier: doi:10.1090/S0894-0347-96-00208-1
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[9] Rafe Mazzeo and Nathan Smale, Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere, J. Differential Geom. 34 (1991), no. 3, 581–621.
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[10] Robert C. McOwen, Singularities and the conformal scalar curvature equation, Geometric analysis and nonlinear partial differential equations (Denton, TX, 1990), Lecture Notes in Pure and Appl. Math., vol. 144, Dekker, New York, 1993, pp. 221–233.
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[11] Frank Pacard, The Yamabe problem on subdomains of even-dimensional spheres, Topol. Methods Nonlinear Anal. 6 (1995), no. 1, 137–150.
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[12] Richard M. Schoen, The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation, Comm. Pure Appl. Math. 41 (1988), no. 3, 317–392.
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[13] Richard M. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Topics in calculus of variations (Montecatini Terme, 1987), Lecture Notes in Math., vol. 1365, Springer, Berlin, 1989, pp. 120–154.
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