On energy minimizing mappings between and into singular spaces
Jingyi Chen
Source: Duke Math. J. Volume 79, Number 1
(1995), 77-99.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077284964
Mathematical Reviews number (MathSciNet): MR1340295
Zentralblatt MATH identifier: 0855.58015
Digital Object Identifier: doi:10.1215/S0012-7094-95-07903-4
References
[A] R. A. Adams, Sobolev Spaces, Pure Appl. Math., vol. 65, Academic Press, New York, 1975.
Mathematical Reviews (MathSciNet): MR56:9247
Zentralblatt MATH: 0314.46030
[B] K. Brown, Buildings, Springer-Verlag, New York, 1989.
Mathematical Reviews (MathSciNet): MR90e:20001
Zentralblatt MATH: 0715.20017
[BGP] Yu. Burago, M. Gromov, and G. Perelman, A. D. Alexandrov's spaces with curvature bounded from below, preprint.
[ES] J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109–160.
Mathematical Reviews (MathSciNet): MR29:1603
Zentralblatt MATH: 0122.40102
Digital Object Identifier: doi:10.2307/2373037
JSTOR: links.jstor.org
[G] M. Gromov, Sign and geometric meaning of curvature, preprint.
Mathematical Reviews (MathSciNet): MR1297501
Digital Object Identifier: doi:10.1007/BF02925201
[GS] M. Gromov and R. Schoen, Harmonic maps into singular spaces and $p$-adic superrigidity for lattices in groups of rank one, Inst. Hautes Études Sci. Publ. Math. 76 (1992), 165–246.
Mathematical Reviews (MathSciNet): MR94e:58032
Zentralblatt MATH: 0896.58024
Digital Object Identifier: doi:10.1007/BF02699433
[GT] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Grundlehren Math. Wiss., vol. 224, Springer-Verlag, Berlin, 1983.
Mathematical Reviews (MathSciNet): MR86c:35035
Zentralblatt MATH: 0562.35001
[H] P. Hartman, On homotopic harmonic maps, Canad. J. Math. 19 (1967), 673–687.
Mathematical Reviews (MathSciNet): MR35:4856
Zentralblatt MATH: 0148.42404
[M] C. B. Morrey, Multiple Integrals in the Calculus of Variations, Grundlehren Math. Wiss., vol. 130, Springer-Verlag, New York, 1966.
Mathematical Reviews (MathSciNet): MR34:2380
Zentralblatt MATH: 0142.38701
[LS] P. Li and R. Schoen, $L^p$ and mean value properties of subharmonic functions on riemannian manifolds, Acta Math. 153 (1984), no. 3-4, 279–301.
Mathematical Reviews (MathSciNet): MR86j:58147
Zentralblatt MATH: 0556.31005
Digital Object Identifier: doi:10.1007/BF02392380
[S] R. Schoen, Analytic aspects of the harmonic map problem, Seminar on Nonlinear Partial Differential Equations (Berkeley, Calif., 1983), Math. Sci. Res. Inst. Publ., vol. 2, Springer-Verlag, New York, 1984, pp. 321–358.
Mathematical Reviews (MathSciNet): MR86b:58032
Zentralblatt MATH: 0551.58011
[SU] R. Schoen and K. Uhlenbeck, A regularity theory for harmonic maps, J. Differential Geom. 17 (1982), no. 2, 307–335.
Mathematical Reviews (MathSciNet): MR84b:58037a
Zentralblatt MATH: 0521.58021
Project Euclid: euclid.jdg/1214436923
[SY] R. Schoen and S. T. Yau, Differential Geometry, in Chinese, Series on Pure and Applied Math. 18, Scientific Publ., Beijing, 1988; and preprint in English.
Mathematical Reviews (MathSciNet): MR1333601
[Y] S. T. Yau, Survey on partial differential equations in differential geometry, Seminar on Differential Geometry, Ann. of Math. Stud., vol. 102, Princeton Univ. Press, Princeton, 1982, pp. 3–71.
Mathematical Reviews (MathSciNet): MR83i:53003
Zentralblatt MATH: 0478.53001
[Z] W. P. Ziemer, Weakly Differentiable Functions, Graduate Texts in Math., vol. 120, Springer-Verlag, New York, 1989.
Mathematical Reviews (MathSciNet): MR91e:46046
Zentralblatt MATH: 0692.46022
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