The Dirichlet Problem on Almost Hermitian Manifolds
The Journal of Geometric Analysis(2020)
摘要
We prove second-order a priori estimate on the boundary for the Dirichlet problem of a class of fully nonlinear equations on compact almost Hermitian manifolds with smooth boundary. As applications, we solve the Dirichlet problem of the Monge–Ampère type equation and of the degenerate Monge–Ampère equation.
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关键词
Dirichlet problem,Monge–Ampère type equation,Degenerate Monge–Ampère equation,Almost Hermitian manifold,A priori estimate
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