\(\mathcal{A}\)-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals

DOI10.1515/acv-2015-0009zbMath1366.49014arXiv1401.6358OpenAlexW2565190248MaRDI QIDQ528924

Martin Kružík, Stefan Krömer, Jan Krämer, Gabriel Pathó

Publication date: 17 May 2017

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6358

zbMATH Keywords

integral functionalsoscillationsweak lower semicontinuityconcentrations\(\mathcal{A}\)-quasiconvexity

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (7)

\(\mathcal{A}\)-variational principles ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Homogenization of high-contrast composites under differential constraints ⋮ Polyconvexity for functions of a system of closed differential forms ⋮ A variational approach to nonlinear electro-magneto-elasticity: Convexity conditions and existence theorems ⋮ Isotropic polyconvex electromagnetoelastic bodies ⋮ $\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics

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