Integral functionals with \(p(x)\)- and \(p(x,u)\)-growth
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Publication:606571
DOI10.1134/S1064562410020304zbMath1219.49011MaRDI QIDQ606571
Publication date: 17 November 2010
Published in: Doklady Mathematics (Search for Journal in Brave)
weak convergence theoryconstruction of lower semicontinuous envelopeslower semicontinuity of functionalsYoung gradient measures
Related Items (2)
Lower semicontinuity and relaxation for integral functionals with \(p(x)\)- and \(p(x, u)\)-growth ⋮ The theorem on convergence with a functional for integral functionals with \(p(x)\)- and \(p(x, u)\)-growth
Cites Work
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Young measure approach to characterization of behaviour of integral functionals on weakly convergent sequences by means of their integrands
- Gradient Young measures generated by sequences in Sobolev spaces
- Parametrized measures and variational principles
- Attainment and relaxation results in special classes of deformations
- A new approach to Young measure theory, relaxation and convergence in energy
- Sets of lower semicontinuity and stability of integral functionals
- Weak Convergence of Integrands and the Young Measure Representation
- Necessary and sufficient conditions in semicontinuity and convergence theorems with a functional
- Integral Functionals and the Gap Problem: Sharp Bounds for Relaxation and Energy Concentration
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