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On some sharp conditions for lower semicontinuity in \(L^1\)

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Publication:1413556
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zbMath1028.49012MaRDI QIDQ1413556

Francesco Maggi, Paolo Marcellini, Michele Gori

Publication date: 17 November 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

lower semicontinuityHölder continuity


Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)


Related Items (7)

A chain rule formula in \(BV\) and application to lower semicontinuity ⋮ Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands ⋮ A new extension of Serrin's lower semicontinuity theorem ⋮ A relaxation result in BV for integral functionals with discontinuous integrands ⋮ The common root of the geometric conditions in Serrin's lower semicontinuity theorem ⋮ On the Lower Semicontinuity of Supremal Functionals ⋮ On the \(L^{1}\)-lower semicontinuity of certain convex functionals defined on \(BV\)-vector valued functions




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