Calculus of Variations and Geometric Measure Theory
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M. Focardi - E. Spadaro

An intrinsic approach to manifold constrained variational problems

created by focardi on 19 Dec 2011
modified on 14 Feb 2013

[BibTeX]

Published Paper

Inserted: 19 dec 2011
Last Updated: 14 feb 2013

Journal: Annali di Matematica Pura e Applicata
Volume: 192
Pages: 145-163
Year: 2013
Doi: 10.1007/s10231-011-0216-z

Abstract:

Motivated by some questions in continuum mechanics and analysis in metric spaces, we give an intrinsic characterization of sequentially weak lower semicontinuous functionals deļ¬ned on Sobolev maps with values into manifolds without embedding the target into Euclidean spaces.

Keywords: Lower semicontinuity, Quasi convexity, Manifold constraints, Metric space valued


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