A Regularity Theory for Variational Problems with Higher Order Derivatives

DOI10.2307/2001759zbMath0702.49001OpenAlexW4250787457MaRDI QIDQ3480784

Richard B. Vinter, Frank H. Clarke

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001759

zbMATH Keywords

maximum principleregularityhigher order derivativesTonelli's existence theory

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in one independent variable (49J05) Optimality conditions for free problems in one independent variable (49K05)

Related Items (4)

Composition functionals in higher order calculus of variations and Noether's theorem ⋮ Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations ⋮ Unnamed Item ⋮ Regularity of solutions to higher-order integrals of the calculus of variations

Cites Work

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• Existence and regularity in the small in the calculus of variations
• Existence theorems for general control problems of Bolza and Lagrange
• On the conditions under which the Euler equation or the maximum principle hold
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• Optimization and nonsmooth analysis
• Lower Semicontinuity of Integral Functionals

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