Oscillations and concentrations generated by ${\mathcal A}$-free mappings and weak lower semicontinuity of integral functionals
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Publication:3558958
DOI10.1051/cocv/2009006zbMath1217.49016OpenAlexW2105350027MaRDI QIDQ3558958
Publication date: 11 May 2010
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/245997
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Methods involving semicontinuity and convergence; relaxation (49J45)
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Cites Work
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- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- A model of elastic adhesive bonded joints through oscillation-concentration measures
- Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
- Continuity and compactness of measures
- Characterizations of Young measures generated by gradients
- Lower semicontinuity in spaces of weakly differentiable functions
- Energy minimizers for large ferromagnetic bodies
- Relaxation in ferromagnetism: The rigid case
- Gradient Young measures generated by sequences in Sobolev spaces
- Parametrized measures and variational principles
- Global higher integrability of Jacobians on bounded domains
- Explicit characterization of \(L^ p\)-Young measures
- A-Quasiconvexity: Relaxation and Homogenization
- Higher integrability of determinants and weak convergence in L1.
- Lower semicontinuity of multiple integrals and the Biting Lemma
- Convergence of solution to nonlinear dispersive equations
- Weak Convergence of Integrands and the Young Measure Representation
- Lower semicontinuity of surface energies
- On the measures of DiPerna and Majda
- Optimization Problems With Concentration And Oscillation Effects: Relaxation Theory And Numerical Approximation
- Analysis of Concentration and Oscillation Effects Generated by Gradients
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- Oscillations and concentrations in sequences of gradients
- Direct methods in the calculus of variations
