Asymptotic analysis of Mumford-Shah type energies in periodically perforated domains
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Publication:2372149
DOI10.4171/IFB/158zbMath1122.49009MaRDI QIDQ2372149
Matteo Focardi, Maria Stella Gelli
Publication date: 24 July 2007
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)
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Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity ⋮ An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains ⋮ Relaxation of free-discontinuity energies with obstacles
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