Young measures supported on invertible matrices

DOI10.1080/00036811.2012.760039zbMath1287.49014arXiv1103.2859OpenAlexW2962897627WikidataQ58259845 ScholiaQ58259845MaRDI QIDQ5413829

Barbora Benešová, Gabriel Pathó, Martin Kružík

Publication date: 2 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2859

zbMATH Keywords

Young measuresrelaxationorientation-preserving mappings

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 (3)

A mesoscopic thermomechanically coupled model for thin-film shape-memory alloys by dimension reduction and scale transition ⋮ Gradient Young Measures Generated by Quasi-Conformal Maps in the Plane ⋮ Characterization of gradient young measures generated by homeomorphisms in the plane

Cites Work

• Fine phase mixtures as minimizers of energy
• Characterizations of Young measures generated by gradients
• Convexity conditions and existence theorems in nonlinear elasticity
• Gradient Young measures generated by sequences in Sobolev spaces
• The computation of martensitic microstructure with piecewise laminates
• Beyond Young measures
• Explicit characterization of \(L^ p\)-Young measures
• A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory
• Convergence of solution to nonlinear dispersive equations
• A sharp version of Zhang’s theorem on truncating sequences of gradients

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