Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case
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Publication:1412653
DOI10.1016/S0294-1449(03)00010-6zbMath1030.49039OpenAlexW2076565134MaRDI QIDQ1412653
Publication date: 25 November 2003
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2003__20_6_911_0
Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)
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Some regularity properties on Bolza problems in the calculus of variations, Unnamed Item, The existence of solutions to variational problems of slow growth, Lipschitzianity of optimal trajectories for the Bolza optimal control problem, Some problems in the calculus of variations, Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control, Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations, Normality of the maximum principle for nonconvex constrained Bolza problems, Necessary conditions and non-existence results for autonomous nonconvex variational problems, Existence of vector minimizers for nonconvex 1-dim integrals with almost convex Lagrangian, 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, Relaxation and regularity in the calculus of variations, Existence of minimizers of free autonomous variational problems via solvability of constrained ones, Another theorem of classical solvability `in small' for one-dimensional variational problems, Regularity of solutions to higher-order integrals of the calculus of variations, Monotonicity properties of minimizers and relaxation for autonomous variational problems, Existence and Lipschitz regularity of solutions to Bolza problems in optimal control, Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem,
Cites Work
- On the minimum problem for a class of non-coercive functionals
- Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
- The classical problem of the calculus of variations in the autonomous case: Relaxation and Lipschitzianity of solutions
- A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral
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