On the Euler-Lagrange equation in calculus of variations

DOI10.1007/S10013-018-0285-ZzbMath1388.49001OpenAlexW2792977239MaRDI QIDQ1639959

Ivar Ekeland

Publication date: 13 June 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-018-0285-z

zbMATH Keywords

Euler-Lagrange equationLavrentiev phenomenon

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for free problems in one independent variable (49J05)

Related Items (1)

Chaos suppression via Euler-Lagrange control design for a class of chemical reacting system

Cites Work

• Unnamed Item
• Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
• A one-dimensional variational problem with continuous Lagrangian and singular minimizer
• Existence and regularity in the small in the calculus of variations
• Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems
• Singular minimizers for regular one-dimensional problems in the calculus of variations
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• On The Lavrentiev Phenomenon

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