On regularity of complex Monge-Ampere equation
He, Weiyong
Original · EN
We shall consider the regularity problem of solutions for complex Monge-Ampere equations. First we prove interior C² estimates of solutions in a bounded domain for complex Monge-Ampere equation with assumption of certain Lᵖ bound for Laplacian u, and of Lipschitz condition on right hand side. Then we shall construct a family of Pogorelov-type examples for complex Monge-Ampere equation. These examples give generalized entire solutions (as well as viscosity solutions) of complex Monge-Ampere equation (ui j)=1.
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