Lepage Equivalents of Second-Order Euler–Lagrange Forms and the Inverse Problem of the Calculus of Variations

DOI10.1142/S1402925109000194zbMath1170.58006MaRDI QIDQ3395362

Dana Smetanová, Olga Krupková

Publication date: 26 August 2009

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

zbMATH Keywords

inverse problem of the calculus of variationsLepage formEuler-Lagrange formLepage equivalent of a LagrangianLepage equivalent of an Euler-Lagrange formsecond-order Euler-Lagrange equations

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Variational principles in infinite-dimensional spaces (58E30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (5)

Variational sequences, representation sequences and applications in physics ⋮ Lagrangian and Hamiltonian duality ⋮ The Lagrangian order-reduction theorem in field theories ⋮ Lepage Manifolds ⋮ THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS

Cites Work

• Hamiltonian field theory
• The geometry of ordinary variational equations
• Variational first-order partial differential equations
• The Hamilton-Cartan formalism in the calculus of variations
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• On the Existence of Global Variational Principles
• Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations
• Unnamed Item

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