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What kinds of singular surfaces can admit constant curvature?
Wenxiong Chen and Congming Li
Source: Duke Math. J. Volume 78, Number 2
(1995), 437-451.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285756
Mathematical Reviews number (MathSciNet): MR1333510
Zentralblatt MATH identifier: 0854.53036
Digital Object Identifier: doi:10.1215/S0012-7094-95-07821-1
References
[1] H. Brezis and F. Merle, Uniform estimates and blow-up behavior for solutions of $-\Delta u=V(x)e\sp u$ in two dimensions, Comm. Partial Differential Equations 16 (1991), no. 8-9, 1223–1253.
Mathematical Reviews (MathSciNet): MR92m:35084
Zentralblatt MATH: 0746.35006
Digital Object Identifier: doi:10.1080/03605309108820797
[2] W. Chen and C. Li, Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991), no. 3, 615–622.
Mathematical Reviews (MathSciNet): MR93e:35009
Zentralblatt MATH: 0768.35025
Digital Object Identifier: doi:10.1215/S0012-7094-91-06325-8
Project Euclid: euclid.dmj/1077296071
[3] W. Chen and C. Li, Gaussian curvature on singular surfaces, J. Geom. Anal. 3 (1993), no. 4, 315–334.
Mathematical Reviews (MathSciNet): MR94f:53017
Zentralblatt MATH: 0780.53032
Digital Object Identifier: doi:10.1007/BF01896259
[4] K. Chou and T. Wan, Asymptotic radial symmetry for solutions of $\Delta u+e\sp u=0$ in a punctured disc, Pacific J. Math. 163 (1994), no. 2, 269–276.
Mathematical Reviews (MathSciNet): MR95a:35038
Zentralblatt MATH: 0794.35049
Project Euclid: euclid.pjm/1102622458
[5] C. Li, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains, Comm. Partial Differential Equations 16 (1991), no. 4-5, 585–615.
Mathematical Reviews (MathSciNet): MR92e:35024
Zentralblatt MATH: 0741.35014
Digital Object Identifier: doi:10.1080/03605309108820770
[6] F. Luo and G. Tian, Liouville equation and spherical convex polytopes, Proc. Amer. Math. Soc. 116 (1992), no. 4, 1119–1129.
Mathematical Reviews (MathSciNet): MR93b:53034
Zentralblatt MATH: 0806.53012
Digital Object Identifier: doi:10.2307/2159498
[7] M. Troyanov, Metrics of constant curvature on a sphere with two conical singularities, Differential geometry (Peñíscola, 1988), Lecture Notes in Math., vol. 1410, Springer, Berlin, 1989, pp. 296–306.
Mathematical Reviews (MathSciNet): MR90m:53057
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[8] M. Troyanov, Prescribing curvature on compact surfaces with conical singularities, Trans. Amer. Math. Soc. 324 (1991), no. 2, 793–821.
Mathematical Reviews (MathSciNet): MR91h:53059
Zentralblatt MATH: 0724.53023
Digital Object Identifier: doi:10.2307/2001742
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