7 papers
On Picard's Problem via Nevanlinna Theory II
Xianjing Dong
This work continues the author's earlier work (2026, Studia Mathematica) on Picard's problem: is every meromorphic function on a complete noncompact Kähler manifold with nonnegati…
On Picard's Problem via Nevanlinna Theory
Xianjing Dong
We consider the classical Picard's problem for non-parabolic complete Kähler manifolds with non-negative Ricci curvature. Based on the global Green function approach, we give a po…
Algebroid Mappings and Their Equidistribution Theory
Xianjing Dong
In this paper, the concept of algebroid mappings of complex manifolds is introduced based on that a large number of complex systems of PDEs admit multi-valued solutions that can be…
A Generalization of Zalcman's Lemma on Complex Lie Groups
Xianjing Dong, Yanda Lv
Zalcman's Lemma makes significant applications in normal families, complex dynamics and related problems in complex analysis. In the present paper, we are devoted to generalizing t…
Nevanlinna Theory of Algebroid Functions on Complete Kähler Manifolds
Xianjing Dong
In this paper, we generalize the classical Nevanlinna theory of algebroid functions from to a complete Kähler manifold with either non-negative Ricci curvature or non-…
A refined form of the second main theorem on complete non-positively curved Kähler manifolds
Xianjing Dong
How to devise a second main theorem with best error terms is a central problem in the study of Nevanlinna theory. However, it seems difficult to be done for a general non-positivel…