Skip to Main content Skip to Navigation
New interface
Journal articles

Schauder Estimates for a Class of Potential Mean Field Games of Controls

Abstract : An existence result for a class of mean field games of controls is provided. In the considered model, the cost functional to be minimized by each agent involves a price depending at a given time on the controls of all agents and a congestion term. The existence of a classical solution is demonstrated with the Leray-Schauder theorem; the proof relies in particular on a priori bounds for the solution, which are obtained with the help of a potential formulation of the problem.
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download
Contributor : J. Frederic Bonnans Connect in order to contact the contributor
Submitted on : Monday, February 25, 2019 - 3:28:04 PM
Last modification on : Tuesday, October 25, 2022 - 4:20:22 PM
Long-term archiving on: : Sunday, May 26, 2019 - 3:01:11 PM


Files produced by the author(s)


  • HAL Id : hal-02048437, version 1


Joseph Frédéric Bonnans, Saeed Hadikhanloo, Laurent Pfeiffer. Schauder Estimates for a Class of Potential Mean Field Games of Controls. Applied Mathematics and Optimization, 2019, pp.34. ⟨hal-02048437⟩



Record views


Files downloads