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On the regularity of solutions to variational problems inBV(Ω)

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References

  1. Anzellotti, G., Giaquinta, M., Massari, U., Pepe, L.: Note sul problema di Plateau. Pisa: Editrice Technico Scientifica 1974

    Google Scholar 

  2. Emmer, M. Esistenza, unicita e regolarità delle superfici di equilibrio nei capillari. Ann. Univ. Ferrara, n. Ser., Sez. VII18, 79–94 (1973)

    Google Scholar 

  3. Federer, H.: The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension. Bull. Amer. math. Soc.76, 767–771 (1970)

    Google Scholar 

  4. Federer, H.: Geometric Measure Theory. Berlin-Heidelberg-New York: Springer 1969

    Google Scholar 

  5. Gerhardt, C.: Existence and regularity of capillary surfaces. Boll. Un. mat. Ital., IV. Ser.10, 317–335 (1974)

    Google Scholar 

  6. Gerhardt, C.: On the capillarity problem with constant volume. Ann. Scuola norm. sup. Pisa, Sci. fis. mat., IV. Ser.2, 303–320 (1975)

    Google Scholar 

  7. Gerhardt, C.: Existence, regularity and boundary behaviour of generalized surfaces of prescribed mean curvature. Math. Z.139, 173–198 (1974)

    Google Scholar 

  8. Giaquinta, M.: Regolarità delle superficiBV(Ω) con curvatura media assegnata. Boll. Un. mat. Ital., IV Ser.8, 567–578 (1973)

    Google Scholar 

  9. Giusti, E.: Superfici cartesiane area minima. Rend. Sem. mat. fis. Milano40, 1–21 (1970)

    Google Scholar 

  10. Massari, U.: Esistenza e regolarità delle ipersuperfici di curvatura media assegnata in ℝn. Arch. rat. Mech. Analysis55, 357–382 (1974)

    Google Scholar 

  11. Miranda, M.: Distributioni aventi derivate misura ed insiemi di perimetro localmente finito. Ann. Scuola norm. sup. Pisa, Sci. fis. mat., III. Ser.18, 27–56 (1964)

    Google Scholar 

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Authors and Affiliations

  1. Institut für Angewandte Mathematik der Universität Heidelberg, Im Neuenheimer Feld 5, D-6900, Heidelberg, Federal Republic of Germany

    Claus Gerhardt

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  1. Claus Gerhardt
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This work was initiated while the author was a guest at the SFB 40 of the Universität Bonn

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Gerhardt, C. On the regularity of solutions to variational problems inBV(Ω). Math Z 149, 281–286 (1976). https://doi.org/10.1007/BF01175590

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  • DOI: https://doi.org/10.1007/BF01175590

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