Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425809 | Advances in Mathematics | 2013 | 17 Pages |
Abstract
We are concerned with fully nonlinear elliptic equations on Hermitian manifolds and search for technical tools to overcome difficulties in deriving a priori estimates which arise due to the nontrivial torsion and general (non-pseudoconvex) boundary data. We present our methods, which work for more general equations, by considering a specific equation which resembles the complex Monge-Ampère equation in many ways but with crucial differences. Our work is motivated by recent increasing interests in fully nonlinear equations on complex manifolds from geometric problems.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Bo Guan, Qun Li,