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Fractures and vector valued maps

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An Erratum to this article was published on 10 November 2009

Abstract.

We study a class of non smooth vector valued maps, defined on n-dimensional domains, which allow for fractures of any integer dimension lower than n. We extend some well known features about (n-1)-dimensional jumps of SBV functions and 0-dimensional singularities, or cavitations, of the distributional determinant of Sobolev functions. Variational problems involving the size of the fractures of any dimension are then studied.

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Authors and Affiliations

  1. Dipartimento di Matematica dell’Universitá di Parma, Via D’Azeglio 85/A, 43100, Parma, Italy

    Domenico Mucci

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  1. Domenico Mucci
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Correspondence to Domenico Mucci.

Additional information

Received: 10 September 2003, Accepted: 5 April 2004, Published online: 16 July 2004

Mathematics Subject Classification (2000):

49Q15, 28A75, 49J52

An erratum to this article is available at http://dx.doi.org/10.1007/s00526-009-0287-5.

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Mucci, D. Fractures and vector valued maps. Calc. Var. 22, 391–420 (2004). https://doi.org/10.1007/s00526-004-0282-9

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  • DOI: https://doi.org/10.1007/s00526-004-0282-9

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