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Surface measures in Carnot-Carathéodory spaces

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Calculus of Variations and Partial Differential Equations Aims and scope Submit manuscript

Abstract.

In the framework of Carnot-Carathéodory spaces we study Minkowski content and perimeter, we prove some coarea formulas, and finally we prove some variational approximations of the perimeter.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38050 Povo (Trento), Italy (e-mail: {rmonti,cassano}@science.unitn.it), , , , , , IT

    Roberto Monti & Francesco Serra Cassano

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  1. Roberto Monti
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  2. Francesco Serra Cassano
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Received May 30, 2000 / Accepted October 10, 2000 / Published online December 8, 2000

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Monti, R., Cassano, F. Surface measures in Carnot-Carathéodory spaces. Calc Var 13, 339–376 (2001). https://doi.org/10.1007/s005260000076

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  • DOI: https://doi.org/10.1007/s005260000076

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