# Maps of Bounded Variation with Values into a Manifold: Total Variation and Relaxed Energy

@inproceedings{Giaquinta2007MapsOB,
title={Maps of Bounded Variation with Values into a Manifold: Total Variation and Relaxed Energy},
author={Mariano Giaquinta and Domenico Mucci},
year={2007}
}
In this paper we illustrate some ideas and results concerning the following question which is relevant in several instances and, in particular, in the calculus of variations. Given an integral energy E(u), as for instance the Dirichlet energy, the total variation or the area, and a sequence of smooth maps uk from the unit ball Bn of Rn into an oriented, compact and boundaryless smooth Riemannian manifold Y in such a way that supk E(uk) < ∞, we would like to describe the limit points of uk. As… CONTINUE READING

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