A Remark on a Free Interface Problem with Volume Constraint

Abstract

(2) min {F(u,E) : u = u0 on ∂Ω, |E| = d} , where u0 ∈W (Ω) is a given boundary datum and 0 < d < |Ω| is prescribed. Energies with surface terms competing with a volume term often appear in materials science as a model for optimal design [1], phase transiction [5], liquid crystals [6] or continuum mechanics [4]. A similar functional was studied by L.Ambrosio and G.Buttazzo in [1] where they consider an energy of the type∫

Cite this paper

@inproceedings{Esposito2008ARO, title={A Remark on a Free Interface Problem with Volume Constraint}, author={L . S . Esposito and Nicola Fusco}, year={2008} }