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Regularity for minimal boundaries in Rn¶with mean curvature in L n

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Abstract:

Let be a minimal set with mean curvature in L n that is a minimum of the functional , where is open and . We prove that if then can be parametrized over the (n−1)-dimensional disk with a C α mapping with C α inverse.

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Authors and Affiliations

  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy.¶e-mail: paolini@cibs.sns.it, , , , , , IT

    Emanuele Paolini

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  1. Emanuele Paolini
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Received: 11 July 1997 / Revised version: 24 February 1998

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Paolini, E. Regularity for minimal boundaries in Rn¶with mean curvature in L n . manuscripta math. 97, 15–35 (1998). https://doi.org/10.1007/s002290050082

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  • DOI: https://doi.org/10.1007/s002290050082

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