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arXiv · 2203.04898

On the regularity of Dirichlet problem for fully non-linear elliptic equations on Hermitian manifolds

Rirong Yuan
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Abstract

We derive the solvability and regularity of the Dirichlet problem for fully non-linear elliptic equations possibly with degenerate right-hand side on Hermitian manifolds, through establishing a quantitative version of boundary estimate under a subsolution assumption. In addition, we construct the subsolution when the background manifold is a product of a closed Hermitian manifold with a compact Riemann surface with boundary.

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Rirong Yuan. 2022-03-09. On the regularity of Dirichlet problem for fully non-linear elliptic equations on Hermitian manifolds. https://arxiv.org/abs/2203.04898

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