Geodesic
Relaxation Results for a Class of Functionals with Linear Growth Defined on Manifold Constrained Mappings
Journal of convex analysis, Tome 15 (2008) no. 4, pp. 719-751.

Voir la notice de l'article provenant de la source Heldermann Verlag

We study the lower semicontinuous envelope of a class of functionals with linear growth defined on mappings from the n-dimensional ball Bn into RN, that are constrained to take values into a smooth submanifold Y of RN. 
@article{JCA_2008_15_4_JCA_2008_15_4_a4,
     author = {M. Giaquinta and D. Mucci},
     title = {Relaxation {Results} for a {Class} of {Functionals} with {Linear} {Growth} {Defined} on {Manifold} {Constrained} {Mappings}},
     journal = {Journal of convex analysis},
     pages = {719--751},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2008},
     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a4/}
}
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M. Giaquinta; D. Mucci. Relaxation Results for a Class of Functionals with Linear Growth Defined on Manifold Constrained Mappings. Journal of convex analysis, Tome 15 (2008) no. 4, pp. 719-751. http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a4/