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- W4297091566 abstract "We provide an existence result for stationary fractional mean field game systems, with fractional exponent greater than 1/2. In the case in which the coupling is a nonlocal regularizing potential, we obtain existence of solutions under general assumptions on the Hamiltonian. In the case of local coupling, we restrict to the subcritical regime, that is the case in which the diffusion part of the operator dominates the Hamiltonian term. We consider both the case of local bounded coupling and of local unbounded coupling with power-type growth. In this second regime, we impose some conditions on the growth of the coupling and on the growth of the Hamiltonian with respect to the gradient term." @default.
- W4297091566 created "2022-09-27" @default.
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- W4297091566 date "2017-05-29" @default.
- W4297091566 modified "2023-10-16" @default.
- W4297091566 title "On stationary fractional Mean Field Games" @default.
- W4297091566 doi "https://doi.org/10.48550/arxiv.1705.10123" @default.
- W4297091566 hasPublicationYear "2017" @default.
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