WEAK SOLUTIONS OF MONGE-AMPRE TYPE EQUATIONS IN OPTIMAL TRANSPORTATION 被引量：1

WEAK SOLUTIONS OF MONGE-AMPRE TYPE EQUATIONS IN OPTIMAL TRANSPORTATION

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摘要 This paper concerns the weak solutions of some Monge-Amp^re type equa- tions in the optimal transportation theory. The relationship between the Aleksandrov solutions and the viscosity solutions of the Monge-Ampere type equations is discussed. A uniform estimate for solution of the Dirichlet problem with homogeneous boundary value is obtained. This paper concerns the weak solutions of some Monge-Amp^re type equa- tions in the optimal transportation theory. The relationship between the Aleksandrov solutions and the viscosity solutions of the Monge-Ampere type equations is discussed. A uniform estimate for solution of the Dirichlet problem with homogeneous boundary value is obtained.

作者蒋飞达杨孝平

机构地区 School of Science

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期950-962,共13页 数学物理学报（B辑英文版）

基金 supported by National Natural Science Foundation of China(11071119)

关键词 viscosity solution generalized solution optimal transportation equation viscosity solution generalized solution optimal transportation equation

分类号 O175 [理学—基础数学]

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WEAK SOLUTIONS OF MONGE-AMPRE TYPE EQUATIONS IN OPTIMAL TRANSPORTATION 被引量：1

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