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Some remarks on the regularity of minimizers

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1340)

Keywords

  • Elliptic Operator
  • Partial Regularity
  • Nonlinear Elliptic System
  • Holder Continuity
  • Degenerate Functional

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References

  1. L.C. Evans, Quasi convexity and partial regularity in the calculus of variations, pre-print (1984).

    Google Scholar 

  2. N. Fusco and J. Hutchinson, C1,α partial regularity of functions minimizing quasiconvex integrals, Manuscripta math. 54 (1985), 121–143.

    CrossRef  MathSciNet  Google Scholar 

  3. N. Fusco and J. Hutchinson, Partial regularity of minimizers of certain functionals having non quadratic growth, pre-print.

    Google Scholar 

  4. M. Giaquinta, Multiple integrals in the Calculus of Variations and nonlinear elliptic systems, Princeton Univ. Press, Princeton 1983.

    MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M. Giaquinta and E. Giusti, Differentiability of minima of nondifferentiable functionals, Inventiones Math. 72 (1983), 285–298.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. M. Giaquinta and E. Giusti, Quasi-minima, Ann. Inst. H. Poincaré, Analyse non linéaire 1 (1984), 79–107.

    MathSciNet  MATH  Google Scholar 

  8. M. Giaquinta and P.A. Ivert, Partial regularity of minimizers of variational integrals, pre-print 1983.

    Google Scholar 

  9. M. Giaquinta and G. Modica, Partial regularity of minimizers of quasiconvex integrals, Ann. Inst. H. Poincaré, Analyse non linéaire 3 (1986).

    Google Scholar 

  10. M. Giaquinta and G. Modica, Remarks on the regularity of the minimizers of certain degenerate functionals, Manuscripta math., to appear.

    Google Scholar 

  11. M. Giaquinta and J. Soucek, Harmonic maps into a hemisphere, Ann. Sc. Norm. Sup. Pisa 12 (1985), 81–90.

    MathSciNet  MATH  Google Scholar 

  12. W. Jäger and H. Kaul, Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems, J. reine u. angew. Math. 343 (1983), 146–161.

    MathSciNet  MATH  Google Scholar 

  13. R. Schoen and K. Uhlenbeck, Regularity of minimizing harmonic maps into the sphere, Inventiones Math. 78 (1984), 89–100.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. K. Uhlenbeck, Regularity for a class of nonlinear elliptic systems, Acta Math. 138 (1977), 219–240.

    CrossRef  MathSciNet  MATH  Google Scholar 

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Dedicated to Hans Lewy

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© 1988 Springer-Verlag

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Giaquinta, M. (1988). Some remarks on the regularity of minimizers. In: Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds) Calculus of Variations and Partial Differential Equations. Lecture Notes in Mathematics, vol 1340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082888

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  • DOI: https://doi.org/10.1007/BFb0082888

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50119-0

  • Online ISBN: 978-3-540-45932-3

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