The calculus of variations for multiple integrals depending on higher order derivatives

DOI10.1007/BF01871944zbMath0575.58019MaRDI QIDQ1064596

Tomasz Szapiro

Publication date: 1984

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

multiple integralshigher order derivativesdifferential geometric formulation of the calculus of variationsLepage-Dedecker theoryrigid plate

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational principles in infinite-dimensional spaces (58E30) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (1)

A contribution to the global formulation of the higher-order Poincaré- Cartan form

Cites Work

• A symplectic framework for field theories
• Noether equations and conservation laws
• The Hamilton-Cartan formalism in the calculus of variations
• Geodesic fields in the calculus of variation for multiple integrals
• Functional theory of geodesic fields and its applications to the calculus of variations of multiple integrals
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