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  • Book
  • Apr 2007

Maps into manifolds and currents: area and W1,2-, W1/2-, BV-energies

Authors:

  1. Mariano Giaquinta

    1. Scuola Normale Superiore Dipartimento di Matematica, Pisa, Italy

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  2. Domenico Mucci
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Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 3)

Part of the book sub series: CRM Series (CRMSNS)

About this book

This volume deals with the problem of characterizing the limit points of sequences of smooth maps from the unit ball of Rn with values into a smooth boundaryless Riemannian manifold and with equibounded “integral energies”. After surveying some known results about Cartesian currents and graphs with finite area and finite boundary area, we do characterize, as in the title, weak limits of sequences of smooth maps with equibounded W 1,2-, W 1/2-, or BV-energies.
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Keywords

  • currents
  • integral energies
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Authors and Affiliations

  • Scuola Normale Superiore Dipartimento di Matematica, Pisa, Italy

    Mariano Giaquinta

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Bibliographic Information

  • Book Title: Maps into manifolds and currents: area and W1,2-, W1/2-, BV-energies

  • Authors: Mariano Giaquinta, Domenico Mucci

  • Series Title: Publications of the Scuola Normale Superiore

  • Publisher: Edizioni della Normale Pisa

  • Copyright Information: Edizioni della Normale 2006

  • Softcover ISBN: 978-88-7642-200-3Due: 01 October 2006

  • Series ISSN: 2239-1460

  • Series E-ISSN: 2532-1668

  • Edition Number: 1

  • Number of Pages: XXII, 391

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