A Du Bois-Reymond convex inclusion for nonautonomous problems of the calculus of variations and regularity of minimizers

DOI10.1007/S00245-019-09620-YzbMath1468.49040OpenAlexW2986809312MaRDI QIDQ2041030

Carlo Mariconda, Piernicola Bettiol

Publication date: 15 July 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09620-y

zbMATH Keywords

growthmaximum principleregularitycalculus of variationsproximalLipschitzWeierstrassslow growthDu Bois-ReymonddirectionalErdmannnonautonomous LagrangianTonelli-Morrey

Mathematics Subject Classification ID

Convex programming (90C25) Regularity of solutions in optimal control (49N60) Optimality conditions for free problems in one independent variable (49K05)

Related Items (6)

Some regularity properties on Bolza problems in the calculus of variations ⋮ Non-occurrence of gap for one-dimensional non-autonomous functionals ⋮ The basic problem of the calculus of variations: Du Bois-Reymond equation, regularity of minimizers and of minimizing sequences ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems ⋮ On a new necessary condition in the calculus of variations for Lagrangians that are highly discontinuous in the state and velocity ⋮ Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem,

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