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Some Remarks about a Free Boundary Type Problem

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Theory and Applications of Liquid Crystals

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 5))

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Abstract

Let me call a “free boundary type problem” any problem consisting of trying to get information about the boundary of an open set of Rn, through calculations carried on functions defined in the open set itself.

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Bibliography

  1. E. De Giorgi, Su una teoria generale della misura (r - 1)-dimensionale in uno spazio euclideo ad r dimensioni, Ann. Math. Pura e Appl. 36 (1954), 191–213.

    Article  MATH  Google Scholar 

  2. E. De Giorgi, Frontiere orientate di misura minima, Sem. Mat. Scuola Normale Superiore Pisa, 1960–61.

    Google Scholar 

  3. E. De Giorgi, F. Colombini, L.C. Piccinini, Frontiere orientate di misura minima e questioni col legate, Scuola Normale Superiore, Pisa, 1972.

    Google Scholar 

  4. U. Massari, M. Miranda, A remark on minimal cones, Boll. Un. Mat. Ital. Series VI, 2-A (1983), 123–125.

    MathSciNet  Google Scholar 

  5. U. Massari, M. Miranda, Minimal surfaces of codimension one, Notas de Matematica 91, North-Holland, 1984.

    MATH  Google Scholar 

  6. E. Bombieri, E. De Giorgi, E. Giusti, Minimal cones and the Bernstein problem, Inv. Math. 7 (1969), 243–268.

    Article  ADS  MATH  Google Scholar 

  7. H.B. Lawson, The equivariant Plateau problem and interior regularity, Trans. Amer. Math. Soc. 173 (1972), 231–249.

    Article  MathSciNet  MATH  Google Scholar 

  8. P. Concus, M. Miranda, Macsyma and minimal surfaces, (to appear in Proceedings of A.M.S., Symposia in Pure Mathematics).

    Google Scholar 

  9. G. Sassudelli, I. Tamanini, A remark on minimal cones, (to appear in Boll. U.M.I.)

    Google Scholar 

  10. P.A. Simoes, A class of minimal cones in Rn, n > 8, that minimize area, Ph.D. thesis, University of California, Berkeley, Calif., 1973.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, 38050, Povo, Trento, Italy

    Mario Miranda

Authors
  1. Mario Miranda
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Editor information

Editors and Affiliations

  1. Institute for Mathematics and Its Applications, Minneapolis, Minnesota, 55455, USA

    J. L. Ericksen  & David Kinderlehrer  & 

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© 1987 Springer-Verlag New York, Inc.

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Miranda, M. (1987). Some Remarks about a Free Boundary Type Problem. In: Ericksen, J.L., Kinderlehrer, D. (eds) Theory and Applications of Liquid Crystals. The IMA Volumes in Mathematics and Its Applications, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8743-5_14

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  • DOI: https://doi.org/10.1007/978-1-4613-8743-5_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8745-9

  • Online ISBN: 978-1-4613-8743-5

  • eBook Packages: Springer Book Archive

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