Some remarks on Lower semicontinuity

DOI10.1512/iumj.2000.49.1791zbMath0980.49018OpenAlexW2076337082MaRDI QIDQ4761507

Giovanni Leoni, Irene Fonseca

Publication date: 21 June 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1791

zbMATH Keywords

integral functionalsblow-uplower semicontinuitypolyconvexityvector-valued maps

Mathematics Subject Classification ID

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

Related Items (7)

A note on Meyers’ Theorem in $W^{k,1}$ ⋮ Weak lower semicontinuity for polyconvex integrals in the limit case ⋮ Lower semicontinuity for polyconvex integrals without coercivity assumptions ⋮ 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

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