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Stability and uniqueness properties of the equator map from a ball into an ellipsoid

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References

  1. Giaquinta, M., Giusti, E.: On the regularity of the minima of variational integrals. Acta Math.148, 31–46 (1982)

    Google Scholar 

  2. Giaquinta, M., Giusti, E.: The singular set of the minima of certain quadratic functionals. To appear in Ann. Scuola Norm. Sup. Pisa

  3. Gromoll, D., Klingenberg, W., Meyer, W.: Riemannsche Geometrie im Großen. Lecture Notes in Math.55, Berlin-Heidelberg-New York: Springer 1968

    Google Scholar 

  4. Hildebrandt, S., Kaul, H., Widman, K.O.: An existence theorem for harmonic mappings of Riemannian manifolds. Acta Math.138, 1–16 (1977)

    Google Scholar 

  5. Jäger, W., Kaul, H.: Uniqueness and Stability of harmonic maps and their Jacobifields. Manuscripta Math.28, 269–291 (1979)

    Google Scholar 

  6. 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)

    Google Scholar 

  7. Jost, J., Meier, M.: Boundary regularity for minima of certain quadratic functionals. Math. Ann.262, 549–561 (1983)

    Google Scholar 

  8. Mazet, E.: La formule de la variation seconde de l'énergie au voisinage d'une application harmonique. J. Differential Geom.8, 279–296 (1973)

    Google Scholar 

  9. Sampson, J.H.: Some properties and applications of harmonic mappings. Ann. Sci. École Norm. Sup.11, 211–228 (1978)

    Google Scholar 

  10. Sampson, J.H.: On harmonic mappings. Symposia Mathematica26, 197–210 (1982)

    Google Scholar 

  11. Schoen, R., Uhlenbeck, K.: A regularity theory for harmonic maps. J. Differential Geom.17, 307–335 (1982)

    Google Scholar 

  12. Schoen, R., Uhlenbeck, K.: Boundary regularity and the Dirichlet problem for harmonic maps. J. Differential Geometry.18, 253–268 (1983)

    Google Scholar 

  13. Schoen, R., Uhlenbeck, K.: Regularity of minimizing harmonic maps into the sphere. Preprint (1983)

  14. Smith, R.T.: The second variation formula for harmonic mappings. Proc. Amer. Math. Soc.47, 229–236 (1975)

    Google Scholar 

  15. Wood, J.C.: Non-existence of solutions to certain Dirichlet Problems for harmonic maps. Preprint (1981)

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  1. Mathematisches Institut der Universität Bonn, Beringstr. 4, D-5300, Bonn 1, Germany

    Alfred Baldes

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  1. Alfred Baldes
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Baldes, A. Stability and uniqueness properties of the equator map from a ball into an ellipsoid. Math Z 185, 505–516 (1984). https://doi.org/10.1007/BF01236259

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  • DOI: https://doi.org/10.1007/BF01236259

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