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C1;1-smoothness of constrained solutions in the calculus of variations withapplication to mean field games

  • Published:2018 Issue:1 Volume:1 Page:174-203
  • ISSN:2640-3501
  • Container-title:Mathematics in Engineering
  • language:en
  • Short-container-title:

Author:

Cannarsa Piermarco, ,Capuani Rossana,Cardaliaguet Pierre, ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Mathematical Physics,Analysis

Reference35 articles.

1. Sobolev Spaces

2. Gradient flows in metric spaces and in the space of probability measures

3. Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints;Arutyanov AV, Aseev SM;SIAM J Control Optim

4. A computational fluid mechanics solution to the Monge- Kantorovich mass transfer problem;Benamou JD, Brenier Y;Numer Math

5. Augmented Lagrangian Methods for Trasport Optimization, Mean Field Games and Degenerate Elliptic Equations;Benamou JD, Carlier G;J Optimiz Theory App

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1. On a Differential Generalized Nash Equilibrium Problem with Mean Field Interaction;SIAM Journal on Optimization;2024-08-23

2. Random Lift of Set Valued Maps and Applications to Multiagent Dynamics;Set-Valued and Variational Analysis;2023-08-11

3. Optimal control of the Fokker-Planck equation under state constraints in the Wasserstein space;Journal de Mathématiques Pures et Appliquées;2023-07

4. A Lagrangian Approach for Aggregative Mean Field Games of Controls with Mixed and Final Constraints;SIAM Journal on Control and Optimization;2023-02-15

5. Multipopulation Minimal-Time Mean Field Games;SIAM Journal on Control and Optimization;2022-07-05
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