Weak Solutions of Monge-Ampére Type Equations in Optimal Transportation |
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| Authors: | Feida JIANG Xiaoping YANG |
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| Institution: | School of Science, Nanjing University of Science and Technology, Nanjing 210094, China |
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| 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. |
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| Keywords: | viscosity solution generalized solution optimal transportation equation |
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