On the role of lower bounds in characterizations of weak lower semicontinuity of multiple integrals

DOI10.1515/ACV.2010.016zbMath1200.49012MaRDI QIDQ3053238

Stefan Krömer

Publication date: 4 November 2010

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

zbMATH Keywords

lower boundmultiple integralsweak lower semicontinuityquasiconvexity at the boundary

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (7)

From non linear elasticity to linear elasticity with initial stress via \(\Gamma\)-convergence ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Generalized $W^{1,1}$-Young Measures and Relaxation of Problems with Linear Growth ⋮ \(\mathcal{A}\)-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals ⋮ On compactness of minimizing sequences subject to a linear differential constraint ⋮ Hadamard's inequality in the mean ⋮ Boundary effects and weak^⋆lower semicontinuity for signed integral functionals on BV

Cites Work

• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Quasiconvexity at the boundary, positivity of the second variation and elastic stability
• Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• The trace of Sobolev-Slobodeckij spaces on Lipschitz domains
• Quasiconvexity at the boundary and a simple variational formulation of Agmon's condition
• Analysis of Concentration and Oscillation Effects Generated by Gradients
• Oscillations and concentrations in sequences of gradients
• Semicontinuity problems in the calculus of variations

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