Maps into manifolds and currents: area and W1,2-, W1/2-, BV-energies (Publications of the Scuola Normale Superiore, #3) (CRM, #3)

by Mariano Giaquinta and Domenico Mucci

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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.
  • ISBN13 9788876422003
  • Publish Date 1 October 2006
  • Publish Status Active
  • Publish Country IT
  • Publisher Birkhauser Verlag AG
  • Imprint Scuola Normale Superiore
  • Format Paperback
  • Pages 391
  • Language English