Fully non-linear elliptic equations on complex manifolds
Analysis of PDEs
2025-03-17 v3 Differential Geometry
Abstract
In this paper, we study a broad class of fully nonlinear elliptic equations on Hermitian manifolds. On one hand, under the optimal structural assumptions we derive -estimate for solutions of the equations on closed Hermitian manifolds. On the other hand, we treat the Dirichlet problem. In both cases, we prove the existence theorems with unbounded condition.
Keywords
Cite
@article{arxiv.2404.12350,
title = {Fully non-linear elliptic equations on complex manifolds},
author = {Rirong Yuan},
journal= {arXiv preprint arXiv:2404.12350},
year = {2025}
}
Comments
Lemmas 3.1 and 3.3 improved. arXiv admin note: text overlap with arXiv:2203.04898