Special Session 54: Trends in Nonlinear Analysis

Existence and multiplicity of solutions to the mean-field games model with mixed interactions
Yuanze Wu
School of Mathematics, Yunnan Normal University
Peoples Rep of China
Co-Author(s):    Xinfu Li, Xiangqing Liu, Juncheng Wei
Abstract:
I will report our recent results on the stationary version of the Mean-Field Games (MFG) models. By developing the minimization method on the Pohozaev manifold, we prove the existence and multiplicity of radial solutions of the Mean-Field Games (MFG) models with general $p$-homogeneous hamiltonians and mixed interactions under more general conditions.