Sequential weak continuity of null Lagrangians at the boundary
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Publication:2445467
DOI10.1007/s00526-013-0621-9zbMath1333.49028arXiv1210.1454OpenAlexW2035176855WikidataQ115181007 ScholiaQ115181007MaRDI QIDQ2445467
Agnieszka Kałamajska, Martin Kružík, Stefan Krömer
Publication date: 14 April 2014
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.1454
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (8)
Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Semi-definite relaxations for optimal control problems with oscillation and concentration effects ⋮ Generalized $W^{1,1}$-Young Measures and Relaxation of Problems with Linear Growth ⋮ Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary ⋮ Necessary and sufficient conditions for the strong local minimality of C1 extremals on a class of non-smooth domains ⋮ Boundary regularity and sufficient conditions for strong local minimizers ⋮ \(\mathcal{A}\)-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals ⋮ Boundary effects and weak⋆lower semicontinuity for signed integral functionals on BV
Cites Work
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- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- A notion of polyconvex function on a surface suggested by nonlinear shell theory
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Quasiconvexity at the boundary, positivity of the second variation and elastic stability
- Direct approach to the problem of strong local minima in calculus of variations
- Erratum: Direct approach to the problem of strong local minima in calculus of variations
- Characterization of generalized gradient Young measures generated by sequences in \(W^{1,1}\) and BV
- Characterizations of Young measures generated by gradients
- Convexity conditions and existence theorems in nonlinear elasticity
- Quasiconvexity at the boundary and a simple variational formulation of Agmon's condition
- Gradient Young measures generated by sequences in Sobolev spaces
- Parametrized measures and variational principles
- The computation of martensitic microstructure with piecewise laminates
- Equilibrium of phases with interfacial energy: a variational approach
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Quasiconvexity at the boundary and concentration effects generated by gradients
- A surprising higher integrability property of mappings with positive determinant
- Higher integrability of determinants and weak convergence in L1.
- Oscillations and concentrations generated by ${\mathcal A}$-free mappings and weak lower semicontinuity of integral functionals
- Lower semicontinuity of surface energies
- On the measures of DiPerna and Majda
- Optimization Problems With Concentration And Oscillation Effects: Relaxation Theory And Numerical Approximation
- On lower semicontinuity of multiple integrals
- Analysis of Concentration and Oscillation Effects Generated by Gradients
- Oscillations and concentrations in sequences of gradients
- Direct methods in the calculus of variations
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