On the existence of oscillating solutions in non-monotone mean-field games
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Publication:1733222
DOI10.1016/j.jde.2018.12.025zbMath1408.35075arXiv1711.08047OpenAlexW2963972436WikidataQ128641307 ScholiaQ128641307MaRDI QIDQ1733222
Publication date: 21 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.08047
Differential games and control (49N70) Nonlinear parabolic equations (35K55) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)
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Cites Work
- Unnamed Item
- Mean field games: the master equation and the mean field limit
- Weakly coupled mean-field game systems
- Mean field games. II: Finite horizon and optimal control
- Mean field games
- Bifurcation theory. An introduction with applications of PDEs
- A segregation problem in multi-population mean field games
- Concentration of ground states in stationary mean-field games systems
- One-dimensional stationary mean-field games with local coupling
- Stable solutions in potential mean field game systems
- One-dimensional, forward-forward mean-field games with congestion
- Long time average of mean field games
- Multi-population mean field games systems with Neumann boundary conditions
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- The derivation of ergodic mean field game equations for several populations of players
- Regularity Theory for Mean-Field Game Systems
- Stationary focusing mean-field games
- Mean field games models of segregation
- Mean Field Control and Mean Field Game Models with Several Populations
- The variational structure and time-periodic solutions for mean-field games systems
- Bifurcation and segregation in quadratic two-populations mean field games systems
- Mean Field Games and Mean Field Type Control Theory
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