Integral formulae associated with the Euler-Lagrange operators of multiple integral problems in the calculus of variations
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Publication:1212250
DOI10.1007/BF01834920zbMath0293.49001OpenAlexW4250853999MaRDI QIDQ1212250
Publication date: 1974
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/136461
Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05) Hamilton-Jacobi theories (49L99)
Related Items (11)
The Keller-Osserman problem for the k-Hessian operator ⋮ Null Lagrangians, weak continuity, and variational problems of arbitrary order ⋮ Integral formulae associated with non-parameter-invariant multiple integral problems of arbitrary order in the calculus of variations ⋮ On two symmetries in the theory of \(m\)-Hessian operators ⋮ Sufficiency conditions under which a Lagrangian is an ordinary divergence ⋮ Null Lagrangians in linear theories of micropolar type and few other generalizations of elasticity ⋮ Convexity conditions and existence theorems in nonlinear elasticity ⋮ Description of the algebraic structure of second-order differential operators that can be represented in divergence form ⋮ Trivial Lagrangians in field theory ⋮ Variationally trivial Lagrangians and locally variational differential equations of arbitrary order ⋮ Quasiconvexity at the boundary, positivity of the second variation and elastic stability
Cites Work
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- Transversality and fields of extremals of multiple integral problems in the calculus of variations
- The null set of the Euler-Lagrange operator
- Sufficiency theorems for optimal control
- Sufficiency conditions for multiple integral control problems
- Geodesic fields in the calculus of variation for multiple integrals
- Observations on Hilbert's Independence Theorem and Born's Quantization of Field Equations
- The Euler-Lagrange expression and degenerate lagrange densities
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