An analogue of Pontryagin's maximum principle in problems of minimization of multiple integrals
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Publication:3130361
DOI10.1070/IM8622zbMath1388.49025OpenAlexW2769054693MaRDI QIDQ3130361
Publication date: 22 January 2018
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im8622
Pontryagin's maximum principlemultiple integralstransversality conditionsfields of extremalsnecessary and sufficient conditions for strong or weak minimasemicontinuous extensions of variational problems
Optimality conditions for problems involving partial differential equations (49K20) Hamilton's equations (70H05) Variational problems in a geometric measure-theoretic setting (49Q20)
Cites Work
- On manifolds homeomorphic to the 7-sphere
- Formes quadratiques et calcul des variations
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Remarks on the paper Basic calculus of variations
- On the Morse index in variational calculus
- The Morse index theorem in Hilbert space
- Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev
- Conjugate surfaces for multiple integral problems in the calculus of variations
- Minimal varieties in Riemannian manifolds
- Die Darstellung biquadratischer Formen als Summen von Quadraten mit Anwendung auf die Variationsrechnung
- Theory of fields of extremals for multiple integrals
- Characteristic Classes. (AM-76)
- Conservation equations and the laws of motion in classical physics
- A Sufficient Condition for the Lower Semicontinuity of Parametric Integrals
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