On the Lp Monge-Ampere equation

Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian

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On the Lp Monge-Ampere equation

Date

2017

Authors

Chen, Shibing

Li, Qi-Rui

Zhu, Guangxian

Publisher

Academic Press

Abstract

For the case where 0 <p< 1, we prove the existence of solutions of the Lp Monge–Ampère equation for arbitrary measures and show that the solution is in general not unique.