Regularity results for an optimal design problem with a volume constraint
Menita Carozza, Irene Fonseca, Antonia Passarelli di Napoli (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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Regularity results for minimal configurations of variational problems involving both bulk and surface energies and subject to a volume constraint are established. The bulk energies are convex functions with -power growth, but are otherwise not subjected to any further structure conditions. For a minimal configuration (), Hölder continuity of the function is proved as well as partial regularity of the boundary of the minimal set . Moreover, full regularity of the boundary of the minimal...