English

On a class of fully nonlinear elliptic equations on closed Hermitian manifolds

Analysis of PDEs 2013-10-02 v1 Differential Geometry

Abstract

We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. We derive CC^\infty {\em a priori} estimates, and then prove the existence of admissible solutions. In the approach, a new Hermitian metic is constructed to launch the method of continuity.

Keywords

Cite

@article{arxiv.1310.0362,
  title  = {On a class of fully nonlinear elliptic equations on closed Hermitian manifolds},
  author = {Wei Sun},
  journal= {arXiv preprint arXiv:1310.0362},
  year   = {2013}
}