On a Class of Fully Nonlinear Elliptic Equations Containing Gradient Terms on Compact Hermitian Manifolds

Yuan, Rirong

Canadian journal of mathematics, Tome 70 (2018) no. 4, pp. 943-960

Résumé

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.

Détail

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

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