Hyperjacobians, determinantal ideals and weak solutions to variational problems

DOI10.1017/S0308210500013020zbMath0562.49005MaRDI QIDQ3675044

Peter J. Olver

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

determinantal idealtransform theorysequential weak continuityhomogeneous null Lagrangianshyperjacobiansquasi-convex variational problems

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Compensated compactness and the Heisenberg group ⋮ Erratum: ``Compensated compactness and the Heisenberg group ⋮ Integrable classes of a family of evolution equations ⋮ Remarks on a paper of Olver ⋮ The distributional hyper-Jacobian determinants in fractional Sobolev spaces ⋮ Transvectants, modular forms, and the Heisenberg algebra. ⋮ On Lagrangians with reduced-order Euler-Lagrange equations ⋮ Graph theory and classical invariant theory ⋮ Determinantal ideals and the Capelli identities ⋮ Trivial Lagrangians in field theory ⋮ Variationally trivial Lagrangians and locally variational differential equations of arbitrary order ⋮ Optimal function spaces for continuity of the Hessian determinant as a distribution

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