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摘要
In this paper, we obtain boundary Harnack estimates and comparison theorem for nonnegative solutions to the linearized Monge-Ampere equations under natural assumptions on the domain, Monge-Ampere measures and boundary data. Our results are boundary versions of Caffarelli and Gutierrez's interior Harnack inequality for the linearized Monge-Ampere equations. As an application, we obtain sharp upper bound and global L-p-integrability for Green's function of the linearized Monge-Ampere operator.
- 出版日期2017-9
