Higher Euler operators and some of their applications

DOI10.1063/1.524104zbMath0416.58028OpenAlexW1992189320MaRDI QIDQ3206007

S. J. Aldersley

Publication date: 1979

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524104

zbMATH Keywords

Euler-Lagrange operatorexistence of a Lagrangianhigher Euler operatorspotential Euler-Lagrange expressions

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Lagrange's equations (70H03)

Related Items (19)

Variational principles for differential equations with symmetries and conservation laws. I: Second order scalar equations ⋮ Boundary values as Hamiltonian variables. I. New Poisson brackets ⋮ Boundary values as Hamiltonian variables. II. Graded structures ⋮ Junction conditions in a general field theory ⋮ The structure of the Euler-Lagrange mapping ⋮ Gauge invariance and charge conservation in non-Abelian gauge theories ⋮ Conservation of charge and second-order gauge-tensor field theories ⋮ Conservation laws and Lie-Bäcklund symmetry ⋮ Bering’s proposal for boundary contribution to the Poisson bracket ⋮ Boundary terms and their Hamiltonian dynamics ⋮ Variational principles for nonpotential operators ⋮ Determinantal ideals and the Capelli identities ⋮ Trivial Lagrangians in field theory ⋮ The variational sequence on finite jet bundle extensions and the Lagrangian formalism ⋮ Variational principles for second-order quasi-linear scalar equations ⋮ On formal variational calculus of higher dimensions ⋮ Hyperjacobians, determinantal ideals and weak solutions to variational problems ⋮ Symmetries of scalar fields. I ⋮ Variational principles for locally variational forms

Cites Work

• Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
• Corrigendum to ’’Covariant inverse problem of the calculus of variations’’
• The Euler-Lagrange expression and degenerate lagrange densities

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