Regularity of harmonic maps

Communications on Pure and Applied Mathematics

Volumn 52, Issue 9, 1999, Pages 1099-1111

  Chang, Sun Yung A ^a,b   Wang, Lihe ^b,d   Yang, Paul C ^c  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^d UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033456860     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O     Document Type: Article

References (14)

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3. Evans, L. C. Partial regularity for stationary harmonic maps into spheres. Arch. Rational Mech. Anal. 116 (1991), no. 2, 101-113.
4. Hélein, F. Régularité des applications faiblement harmoniques entre une surface et une sphère. (French) [Regularity of weakly harmonic maps between a surface and an n-sphere] C. R. Acad. Sci. Paris Sér. 1 Math. 311 (1990), no. 9, 519-524.
5. Hélein, F. Régularité des applications faiblement harmoniques entre une surface et une variété riemannienne. (French) [Regularity of weakly harmonic maps between a surface and a Riemannian manifold] C. R. Acad. Sci. Paris Sér. 1 Math. 312 (1991), no. 8, 591-596.
6. Hélein, F. Harmonic maps, conservation laws and moving frames. Diderot Publishers, Paris, 1997.
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9. Morrey, C. B., Jr. The problem of Plateau on a Riemannian manifold. Ann. of Math. (2) 49 (1948), 807-851.
10. Price, P. A monotonicity formula for Yang-Mills fields. Manuscripta Math. 43 (1983), no. 2-3, 131-166.
11. Schoen, R.; Uhlenbeck, K. A regularity theory for harmonic maps. J. Differential Geom. 17 (1982), no. 2, 307-335.
12. Schoen, R. M. Analytic aspects of the harmonic map problem. Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983), 321-358, Math. Sci. Res. Inst. Publ., 2, Springer, New York-Berlin, 1984.
13. Schoen, R. M. Analytic aspects of the harmonic map problem. Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983), 321-358, Math. Sci. Res. Inst. Publ., 2, Springer, New York-Berlin, 1984.
14. Stein, E. M. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. With the assistance of Timothy S. Murphy. Princeton Mathematical Series, 43. Monographs in Harmonic Analysis, III. Princeton University Press, Princeton, N.J., 1993.