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- W2971656944 abstract "We solve the Dirichlet problem for $k$-Hessian equations on compact complex manifolds with boundary, given the existence of a subsolution. Our method is based on a second order a priori estimate of the solution on the boundary with a particular gradient scale. The scale allows us to apply a blow-up argument to obtain control on all necessary norms of the solution." @default.
- W2971656944 created "2019-09-12" @default.
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- W2971656944 date "2022-12-01" @default.
- W2971656944 modified "2023-10-05" @default.
- W2971656944 title "The Dirichlet problem for the k-Hessian equation on a complex manifold" @default.
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- W2971656944 doi "https://doi.org/10.1353/ajm.2022.0040" @default.
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