scientific article; zbMATH DE number 1766602

zbMath1015.49015MaRDI QIDQ4538006

Guy Bouchitté, Ilaria Fragalà, Giusseppe Buttazzo

Publication date: 11 July 2002

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_25_1-2_179_0

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zbMATH Keywords

weak convergencedimensionintegral functionalvarifoldsweak lower semicontinuitytangent spacetangential derivativesgeneralized mean curvature of a measure

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (8)

Homogenization of periodic graph-based elastic structures ⋮ Unnamed Item ⋮ Optimality conditions for mass design problems and applications to thin plates ⋮ A \(p\)-Laplacian approximation for some mass optimization problems ⋮ Second-order energies on thin structures: Variational theory and non-local effects ⋮ Infinitesimal calculus in metric spaces ⋮ Lower semicontinuity of multiple µ-quasiconvex integrals ⋮ Convergence of Sobolev spaces on varying manifolds.

Cites Work

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• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Energies with respect to a measure and applications to low dimensional structures
• Mathématiques/Mathematics Shape optimization solutions via Monge-Kantorovich equation

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