Geodesic
A Remark on a Free Interface Problem with Volume Constraint
Journal of convex analysis, Tome 18 (2011) no. 2, pp. 417-426.

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

We study the optimal design problem of finding the minimal energy configuration for a mixture of two conducting materials with a perimeter penalization of the unknown domain, when a volume constraint is added. We prove that minimizers of the constrained problem also minimize an unconstrained problem with a volume penalization for which regualarity results are available in the literature.
Classification : 49N60, 49Q20
Mots-clés : Perimeter penalization, volume constraint, regularity 
@article{JCA_2011_18_2_JCA_2011_18_2_a8,
     author = {L. Esposito and N. Fusco},
     title = {A {Remark} on a {Free} {Interface} {Problem} with {Volume} {Constraint}},
     journal = {Journal of convex analysis},
     pages = {417--426},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2011},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a8/}
}
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L. Esposito; N. Fusco. A Remark on a Free Interface Problem with Volume Constraint. Journal of convex analysis, Tome 18 (2011) no. 2, pp. 417-426. http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a8/