Further remarks on the lower semicontinuity of polyconvex integrals
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Publication:1904225
DOI10.1016/S0294-1449(16)30173-1zbMath0833.49013OpenAlexW2521174108MaRDI QIDQ1904225
Gianni Dal Maso, Pietro Celada
Publication date: 5 March 1996
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_6_661_0
Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)
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Cites Work
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- Unnamed Item
- Erratum and addendum to ``Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- The Dirichlet integral for mappings between manifolds: Cartesian currents and homology
- New lower semicontinuity results for polyconvex integrals
- Weak lower semicontinuity of polyconvex integrals: A borderline case
- Sublinear functions of measures and variational integrals
- Weak lower semicontinuity of polyconvex integrals
- Convex Analysis
