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.
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页码：1897 / 1910
页数：13
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