Boundary Harnack Inequality for the Linearized Monge-ampère Equations and Applications
نویسنده
چکیده
In this paper, we obtain boundary Harnack estimates and comparison theorem for nonnegative solutions to the linearized Monge-Ampère equations under natural assumptions on the domain, Monge-Ampère measures and boundary data. Our results are boundary versions of Caffarelli and Gutiérrez’s interior Harnack inequality for the linearized Monge-Ampère equations. As an application, we obtain sharp upper bound and global Lp-integrability for Green’s function of the linearized Monge-Ampère operator.
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