M. Focardi - E. Spadaro

An intrinsic approach to manifold constrained variational problems

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 defined 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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