Existence for stationary mean-field games with congestion and quadratic Hamiltonians

被引：0

作者：

Diogo A. Gomes

Hiroyoshi Mitake

机构：

[1] King Abdullah University of Science and Technology (KAUST),CSMSE Division

[2] KAUST SRI Uncertainty Quantification Center in Computational Science and Engineering,Institute for Sustainable Sciences and Development

[3] Hiroshima University,undefined

来源：

Nonlinear Differential Equations and Applications NoDEA | 2015年 / 22卷

关键词：

Mean-field games; Quadratic Hamiltonians; Congestion; 35J47; 35A01;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Here, we investigate the existence of solutions to a stationary mean-field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian and congestion effects. The fundamental difficulty of potential singular behavior is caused by congestion. Thanks to a new class of a priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions.

引用

页码：1897 / 1910

页数：13

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