Characterization of gradient young measures generated by homeomorphisms in the plane

DOI10.1051/cocv/2015003zbMath1335.49023arXiv1308.3377OpenAlexW3099737777MaRDI QIDQ2798013

Martin Kružík, Barbora Benešová

Publication date: 1 April 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3377

zbMATH Keywords

variational problemsminimizerintegral functionalgradient Young measuresorientation-preserving mappingsweak*-lower semicontinuity

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (11)

Gradient Polyconvexity and Modeling of Shape Memory Alloys ⋮ Gradient Young Measures Generated by Quasi-Conformal Maps in the Plane ⋮ The Dirichlet principle for inner variations ⋮ A sharp interface evolutionary model for shape memory alloys ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys ⋮ A note on locking materials and gradient polyconvexity ⋮ Characterization of generalized Young measures generated by symmetric gradients ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ Gradient polyconvexity in evolutionary models of shape-memory alloys ⋮ On the theory of relaxation in nonlinear elasticity with constraints on the determinant

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