Gradient Young Measures Generated by Quasi-Conformal Maps in the Plane

DOI10.1137/151006056zbMath1368.30010arXiv1409.1552OpenAlexW1794459719MaRDI QIDQ3455231

Barbora Benešová, Malte Kampschulte

Publication date: 4 December 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1552

zbMATH Keywords

quasi-convexitygradient Young measuresquasi-conformal mapsorientation-preserving mappingsnoninterpenetration of matter

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Methods involving semicontinuity and convergence; relaxation (49J45) Quasiconformal mappings in the complex plane (30C62)

Related Items (5)

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 ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity

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