The equivalence problem and canonical forms for quadratic Lagrangians

DOI10.1016/0196-8858(88)90015-2zbMath0654.49002OpenAlexW2103745928MaRDI QIDQ1108572

Peter J. Olver

Publication date: 1988

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(88)90015-2

zbMATH Keywords

canonical formequivalence classLagrangiansquadratic variational problemsEuler- Lagrange equationsplanar anisotropic elasticity

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Existence theories for free problems in two or more independent variables (49J10) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items

Equivalence and the Cartan form ⋮ Canonical elastic moduli ⋮ Equivalence problems for first order Lagrangians on the line ⋮ Invariants for the Lagrangian equivalence problem ⋮ Differential invariants of a class of Lagrangian systems with two degrees of freedom ⋮ Graph theory and classical invariant theory

Cites Work

• Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
• The invariant theory of binary forms
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