Some Regularity Properties on Bolza problems in the Calculus of Variations
نویسندگان
چکیده
The paper summarizes the main core of last results that we obtained in [8, 4, 17] on regularity value function for a Bolza problem one-dimensional, vectorial calculus variations. We are concerned with nonautonomous Lagrangian is possibly highly discontinuous state and velocity variables, nonconvex variable non coercive. achieved under assumption convex one-dimensional lines satisfies local Lipschitz continuity condition w.r.t. time variable, known literature as Property (S), strictly related to validity Erdmann–Du-Bois Reymond equation.
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2022
ISSN: ['1631-073X', '1778-3569']
DOI: https://doi.org/10.5802/crmath.220