On the gradient set of Lipschitz maps

DOI10.1515/CRELLE.2008.095zbMath1168.49002OpenAlexW2043560709MaRDI QIDQ3600022

László jun. Székelyhidi, Bernd Kirchheim

Publication date: 10 February 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2008.095

zbMATH Keywords

Lipschitz mapspartial differential inclusionelliptic separating curvegradient set

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27)

Related Items (10)

Numerical evidence towards a positive answer to Morrey's problem ⋮ On rank one convex functions that are homogeneous of degree one ⋮ Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints ⋮ Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands ⋮ Incompatible sets of gradients and metastability ⋮ Mappings of least Dirichlet energy and their Hopf differentials ⋮ Lipschitz regularity for inner-variational equations ⋮ Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation ⋮ Extremal rank-one convex integrands and a conjecture of Šverák ⋮ Quasiregular curves of small distortion in product manifolds

Cites Work

• The failure of rank-one connections
• Fine phase mixtures as minimizers of energy
• Equilibrium configurations of crystals
• Characterizations of Young measures generated by gradients
• Behaviour of singularities of the rotationally symmetric, volume-preserving mean curvature flow
• Surface-concentration-dependent nonlinear diffusion
• Neighborhoods of Parallel Wells in Two Dimensions That Separate Gradient Young Measures

This page was built for publication: On the gradient set of Lipschitz maps