Geodesic
On a Class of Fully Nonlinear Elliptic Equations Containing Gradient Terms on Compact Hermitian Manifolds
Canadian journal of mathematics, Tome 70 (2018) no. 4, pp. 943-960

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DOI

In this paper we study a class of second order fully nonlinear elliptic equations 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.
DOI : 10.4153/CJM-2017-015-9
Mots-clés : 35J15, 53C55, 53C25, 35J25, Sasakian manifold, Hermitian manifold, subsolution, extra concavity condition, fully nonlinear elliptic equation containing gradient term on complex manifold 
Yuan, Rirong. On a Class of Fully Nonlinear Elliptic Equations Containing Gradient Terms on Compact Hermitian Manifolds. Canadian journal of mathematics, Tome 70 (2018) no. 4, pp. 943-960. doi: 10.4153/CJM-2017-015-9
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     author = {Yuan, Rirong},
     title = {On a {Class} of {Fully} {Nonlinear} {Elliptic} {Equations} {Containing} {Gradient} {Terms} on {Compact} {Hermitian} {Manifolds}},
     journal = {Canadian journal of mathematics},
     pages = {943--960},
     year = {2018},
     volume = {70},
     number = {4},
     doi = {10.4153/CJM-2017-015-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-015-9/}
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