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Optimal regularity theorems for variational problems with obstacles

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References

  1. Duzaar,F.: Variational inequalities and harmonic mappings, to appear

  2. Duzaar,F., Fuchs, M.: Variational problems with non-convex obstacles and an integral constraint. Math. Z. 191 (1986), S. 585–591

    Google Scholar 

  3. Federer,H.: Geometric measure theory, Springer, Berlin-Heidelberg-New York, 1969

    Google Scholar 

  4. Fuchs,M.: Variational inequalities for vector-valued functions with non-convex obstacles, Analysis 5, 223–238, 1985

    Google Scholar 

  5. Fuchs,M.: Some remarks on the boundary regularity for minima of variational problems with obstacles, manuscripta math. 54, 107–119, 1985

    Google Scholar 

  6. Giaquinta,M.: Muiltiple integrals in the calculus of variations and nonlinear elliptic systems, SFB 72, Vorlesungsreihe No.6, Bonn 1981.

  7. Giaquinta,M., Giusti,E.: On the singular set of the minima of certain quadratic functionals, preprint S B 72 Bonn

  8. Hildebrandt,S., Kaul,H., Widmann,K-O.: An existence theorem for harmonic mappings of Riemannian manifolds, Acta Math. 138, 1–47, 1977

    Google Scholar 

  9. Jost,J.: Harmonic mappings between Riemannian manifolds, ANU-Press 1984

  10. Schoen,R., Uhlenbeck,K.: A regularity theory for harmonic maps, J. Diff. Geo. 17, 307–335, 1982

    Google Scholar 

  11. Schoen,R., Uhlenbeck,K.: Boundary regularity and the Dirichlet-problem for harmonic maps, J. Diff. Geo. 18, 253–268, 1983

    Google Scholar 

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Duzaar, F., Fuchs, M. Optimal regularity theorems for variational problems with obstacles. Manuscripta Math 56, 209–234 (1986). https://doi.org/10.1007/BF01172157

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