4 papers · 1 filter
Value distribution of meromorphic mappings on complete Kähler connected sums with non-parabolic ends
Xianjing Dong
All harmonic functions on possess Liouville's property, which is well-known as the Liouville's theorem. In 1979, Kuz'menko and Molchanov discovered a phenomenon that…
Unicity problem on meromorphic mappings of complete Kahler manifolds
Xianjing Dong, Mengyue Liu
Nevanlinna's unicity theorems have always held an important position in value distribution theory. The main purpose of this paper is to generalize the classical Nevanlinna's unicit…
Nevanlinna Theory on Geodesic Balls of Complete Kähler Manifolds
Xianjing Dong
We study Nevanlinna theory of meromorphic mappings from a geodesic ball of a general complete Kähler manifold with non-negative Ricci curvature into a complex projective manifold b…
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 pos…