On a class of fully nonlinear elliptic equations containing gradient terms on compact Hermitian manifolds
In this paper we study a class of second order fully nonlinear
containing gradient terms on compact Hermitian manifolds and
obtain a priori estimates under
proper assumptions close to optimal.
The analysis developed here should
be useful to deal with other Hessian equations containing gradient
terms in other contexts.
Sasakian manifold, Hermitian manifold, subsolution, extra concavity condition, fully nonlinear elliptic equation containing gradient term on complex manifold
35J15 - Second-order elliptic equations
53C55 - Hermitian and Kahlerian manifolds [See also 32Cxx]
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
35J25 - Boundary value problems for second-order elliptic equations