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B2-convexity implies strong and weak lower semicontinuity of partitions of \(\mathbb R^{n}\)

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Publication:764074
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DOI10.2140/PJM.2011.253.321zbMath1239.49060OpenAlexW2086522562MaRDI QIDQ764074

David G. Caraballo

Publication date: 13 March 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/pjm/2011/253-2/p03.xhtml


zbMATH Keywords

partitionslower semicontinuityclusterspolycrystalssurface energygeometric measure theoryB2-convexity


Mathematics Subject Classification ID

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


Related Items (3)

Homogenization of vector-valued partition problems and dislocation cell structures in the plane ⋮ Some new results about the geometry of sets of finite perimeter ⋮ A NOTE ON SOME TOPOLOGICAL PROPERTIES OF SETS WITH FINITE PERIMETER







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