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

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.

Summary

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.

Product details

• Authors: Marian Giaquinta, Mariano Giaquinta, Mariano Giaquinto, Domenico Macci, Domenico Mucci
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 20.04.2012
• EAN: 9788876422003
• ISBN: 978-88-7642-200-3
• No. of pages: 391
• Dimensions: 141 mm x 240 mm x 32 mm
• Weight: 798 g
• Illustrations: XXII, 391 p.
• Series: Publications of the Scuola Normale Superiore; Publications of the Scuola Normale Superiore / CRM Series; CRM Series; CRM (Paperback); Publications of the Scuola Normale Superiore; CRM Series; CRM (Paperback)
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles