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

Mariano Giaquinta Domenico Mucci

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

pp. xxii-391

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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 W1,2ˉ, W1/2ˉ, or BVˉenergies.

Additional Information

Additional Information

Title Maps into manifolds and currents: area and W1,2-,W1/2-, BV-energies
Author (display) Mariano Giaquinta Domenico Mucci
Editing/translations No
ISBN 88-7642-200-5
Publishing year 2006
Subject Matematica e storia della matematica
Buy link http://www.springer.com/birkhauser/mathematics/scuola+normale+superiore/book/978-88-7642-200-3
Notes No

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