Classical and weak solutions to local first-order mean field games through elliptic regularity

DOI10.4171/AIHPC/1MaRDI QIDQ2693058

Sebastian Muñoz

Publication date: 17 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07367

zbMATH Keywords

Hamilton-Jacobi equationsquasilinear elliptic equationsoblique derivative problemsvanishing viscosity limitBernstein methodnon-linear method of continuity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Hamilton-Jacobi equations (35F21) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)

Related Items (3)

Regularity and Long Time Behavior of One-Dimensional First-Order Mean Field Games and the Planning Problem ⋮ Regularizing effects of the entropy functional in optimal transport and planning problems ⋮ Classical solutions to local first-order extended mean field games

Cites Work

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