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

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 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 contai...

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Veröffentlicht in:Canadian journal of mathematics 2018-08, Vol.70 (4), p.943-960
1. Verfasser: Yuan, Rirong
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0008-414X
1496-4279
DOI:10.4153/CJM-2017-015-9