18 citations · 74 across the 34 of their papers we have counts for
35 papers
Analytic Construction of Rational Curves on Fano Manifolds
Yun-Heng Du, Bin Guo, Song-Yan Xie
Inspired by constructions of entire curves in Oka geometry, we construct rational curves on complex Fano manifolds analytically, by alternately deforming a holomorphic disk to redu…
On higher integrability for -Laplacian equations with drift
Jingya Chen, Bin Guo, Baisheng Yan
In this paper, we study the higher integrability for the gradient of weak solutions of -Laplacians equation with drift terms. We prove a version of generalized Gehring's lemm…
Universal holomorphic maps with slow growth I. An Algorithm
Bin Guo, Song-Yan Xie
We design an Algorithm to fabricate universal holomorphic maps between any two complex Euclidean spaces, within preassigned transcendental growth rate. As by-products, universal ho…
Auxiliary Monge-Ampere equations in geometric analysis
Bin Guo, Duong H. Phong
This is an introduction to a particular class of auxiliary complex Monge-Ampère equations which had been instrumental in estimates for fully non-linear equations and var…
Diameter estimates in Kähler geometry
Bin Guo, Duong H. Phong, Jian Song +1
Diameter estimates for Kähler metrics are established which require only an entropy bound and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for $…
Uniform entropy and energy bounds for fully non-linear equations
Bin Guo, Duong H. Phong
Energy bounds which are uniform in the background metric are obtained from upper bounds for entropy-like quantities. The argument is based on auxiliary Monge-Ampère equations invol…