Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663763 | Acta Mathematica Scientia | 2013 | 13 Pages |
Abstract
This paper concerns the weak solutions of some Monge-Ampére type equations in the optimal transportation theory. The relationship between the Aleksandrov solutions and the viscosity solutions of the Monge-Ampére type equations is discussed. A uniform estimate for solution of the Dirichlet problem with homogeneous boundary value is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)