论文标题
关于Hermitian歧管上完全非线性椭圆方程的Dirichlet问题的规律性
On the regularity of Dirichlet problem for fully non-linear elliptic equations on Hermitian manifolds
论文作者
论文摘要
我们通过建立在订阅假设下建立定量的边界估计版本的定量版本的边界估计值，从而得出了完全非线性椭圆方程的Dirichlet问题的解决性和规律性。此外，当背景歧管是带有边界紧凑的riemann表面的封闭遗传歧管的产物时，我们构建了订阅。
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.
