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A remark on the \(L^1\)-lower semicontinuity for integral functionals in BV

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Publication:1416701
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DOI10.1007/s00229-003-0400-6zbMath1030.49014OpenAlexW2002660529MaRDI QIDQ1416701

Flavia Giannetti, Anna Verde, Nicola Fusco

Publication date: 16 December 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-003-0400-6


zbMATH Keywords

lower semicontinuityintegral functionalBV


Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)


Related Items (5)

A chain rule formula in \(BV\) and application to lower semicontinuity ⋮ Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands ⋮ LOWER SEMICONTINUITY RESULTS FOR FREE DISCONTINUITY ENERGIES ⋮ The common root of the geometric conditions in Serrin's lower semicontinuity theorem ⋮ On the \(L^{1}\)-lower semicontinuity of certain convex functionals defined on \(BV\)-vector valued functions




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