Uniqueness of harmonic maps with small energy

Manuscripta Mathematica

Volumn 96, Issue 4, 1998, Pages 463-486

  Struwe, Michael ^a  

^a ETH ZURICH   (Switzerland)

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EID: 0032129295     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290050077     Document Type: Article

References (25)

1. Almgren, F., Browder, W., Lieb, E.-H.: Co-area, liquid crystals, and minimal surfaces. In: Partial differential equations (Tianjin, 1986), Lecture Notes in Math. 1306, Berlin: Springer, 1988, 1-22
2. Bethuel, F.: The approximation problem for Sobolev-maps between manifolds. Acta Math. 167, 153-206 (1991)
3. Bethuel, F.: On the singular set of stationary harmonic maps. manusc. math. 78, 417-443 (1993)
4. 2,λ Ann. Mat. Pura Appl. 69, 321-380 (1965)
5. Chen, Y., Lin, F.-H.: Remarks on approximate harmonic maps. Comm. Math. Helv. 70, 161-169 (1995)
6. Chen, Y., Struwe, M.: Existence and partial regularity results for the heat flow for harmonic maps. Math. Z. 201, 83-103 (1989)
7. Christodoulou, D., Tahvildar-Zadeh, A.S.: On the regularity of spherically symmetric wave maps. Comm. Pure Appl. Math. 46, 1041-1091 (1993)
8. Coifman, R., Lions, P.L., Meyer, Y., Semmes, S.: Compensated compactness and Hardy spaces. J. Math. Pures Appl. 72, 247-286 (1993)
9. Evans, L.C.: Partial regularity for stationary harmonic maps into spheres. Arch. Rat. Mech. Anal. 116, 101-113 (1991)
10. p spaces of several variables. Acta Math. 129, 137-193 (1972)
11. Freire, A., Müller, S., Struwe, M.: Weak convergence of wave maps from (1+2)-dimensional Minkowski space to Riemannian manifolds. Invent. Math. 130,589-617 (1997)
12. Freire, A., Müller, S., Struwe, M.: Weak compactness of wave maps and harmonic maps. Ann. Inst. H. Poincari, Analyse Non-Linéaire (in press)
13. Giaquinta, M.: Introduction to regularity theory for nonlinear elliptic systems. Lectures in Mathematics, Birkhäuser Verlag, 1993
14. Hélein, F.: Regularity of weakly harmonic maps from a surface into a manifold with symmetries. Manusc. Math. 70, 203-218 (1991)
15. Hélein, F.: Regularité des applications faiblement harmoniques entre une surface et une varieté Riemannienne. C.R. Acad. Sci. Paris Ser. I Math. 312, 591-596 (1991)
16. Jäger, W., Kaul, H.: Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems. J. Reine Angew. Math. 343, 146-161 (1983)
17. Lions, J.-L., Magenes, E.: Non-homogeneous boundary value problems and applications I. Springer Grundlehren 181, Berlin-Heidelberg-New York, 1972
18. Müller, S., Struwe, M.: Global existence of wave maps in 1+2 dimensions for finite energy data. Top. Methods Nonlinear Analysis 7, 245-259 (1996)
19. Riviere, T.: Everywhere discontinuous harmonic maps from the dimension 3 into spheres. Acta Math. 175, 197-226 (1995)
20. Schoen, R.: Analytic aspects of the harmonic map problem. Math. Sci. Res. Inst. Publ. 2, Berlin:Springer, 1984
21. Schoen, R.S., Uhlenbeck, K.: A regularity theory for harmonic maps. J. Diff. Geom. 17, 307-335, (1982) 18, 329 (1983)
22. Schoen, R.S., Uhlenbeck, K.: A regularity theory for harmonic maps. J. Diff. Geom. 17, 307-335, (1982) 18, 329 (1983)
23. Schoen, R.S., Uhlenbeck, K.: Boundary regularity and the Dirichlet problem for harmonic maps. J. Diff. Geom. 18, 253-268 (1983)
24. Struwe, M.: On the evolution of harmonic maps of Riemannian surfaces. Comm. Math. Helv. 60, 558-581 (1985)
25. Struwe, M.: Singular perturbations of geometric variational problems. In: Elliptic and parabolic methods in geometry, editors B. Chow et al, Wellesley, Ma: AK Peters, 1996, 123-144