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Regularization of a set function -- application to integral representation

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Publication:1864705
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zbMath1009.49014MaRDI QIDQ1864705

Michel Bellieud, Guy Bouchitté

Publication date: 18 March 2003

Published in: Ricerche di Matematica (Search for Journal in Brave)


zbMATH Keywords

integral representationvariational functional


Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)


Related Items (7)

Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation ⋮ Relaxation of variational problems under trace constraints ⋮ Integral representation of unbounded variational functionals on Sobolev spaces ⋮ Homogenization of unbounded integrals with quasiconvex growth ⋮ Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces ⋮ Homogenization of nonconvex unbounded singular integrals ⋮ Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces




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