Lower semicontinuity via \(W^{1,q}\)-quasiconvexity
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Publication:385939
DOI10.1016/j.bulsci.2012.12.004zbMath1277.49016arXiv1106.2828OpenAlexW2964231094MaRDI QIDQ385939
Publication date: 13 December 2013
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.2828
Young measuresweak lower semicontinuity\(W^{1,q}\)-quasiconvexityequi-integrabilitylocalization principle
Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (3)
Solution of a Ball-Murat problem ⋮ Lower semicontinuity of integrals of the calculus of variations in Cheeger-Sobolev spaces ⋮ A necessary and sufficient condition for lower semicontinuity
Cites Work
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Lower semicontinuity in spaces of weakly differentiable functions
- Gradient Young measures generated by sequences in Sobolev spaces
- Parametrized measures and variational principles
- A new approach to Young measure theory, relaxation and convergence in energy
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Lower semicontinuity of multiple integrals and the Biting Lemma
- A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory
- Weak Convergence of Integrands and the Young Measure Representation
- Weakly Differentiable Functions
- Lower semicontinuity in Sobolev spaces below the growth exponent of the integrand
- Analysis of Concentration and Oscillation Effects Generated by Gradients
- Variational Methods in Nonlinear Elasticity
- Young Measures as Measurable Functions and Their Applications to Variational Problems
- Semicontinuity problems in the calculus of variations
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