Article contents
Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
Published online by Cambridge University Press: 28 March 2008
Abstract
In this paper we study the lower semicontinuous envelope with respect to the L1-topology of a class of isotropic functionals with linear growth defined on mappings from the n-dimensional ball into ${\mathbb R}^{N}$ that are constrained to take values into a smooth submanifold ${\cal Y}$ of ${\mathbb R}^{N}$.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 2 , April 2009 , pp. 295 - 321
- Copyright
- © EDP Sciences, SMAI, 2008
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