EULER-LAGRANGE EQUATIONS AS DIVERGENCE CONDITIONS

DOI10.1080/16073606.1981.9631875zbMath0477.49012OpenAlexW2003335458MaRDI QIDQ3935030

Hanno Rund

Publication date: 1981

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1981.9631875

zbMATH Keywords

Euler-Lagrange equationsdistributionslocal integrabilitymultiple integral variational problemsintegrability coefficients

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Pfaffian systems (58A17) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (1)

THE CONSTRUCTION OF THE COMPLETE FIGURE IN THE CALCULUS OF VARIATIONS OF MULTIPLE INTEGRALS: A DIRECT APPROACH

Cites Work

• Conservation criteria, canonical transformations, and integral invariants in the field theory of Caratheodory for multiple integral variational problems
• Transversality and fields of extremals of multiple integral problems in the calculus of variations

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