5 citations · 6 across the 11 of their papers we have counts for
7 papers · 1 filter
Uniqueness and Stability of Monge--Ampère Potentials in Big Cohomology Classes
Quang-Tuan Dang, Lei Zhang, Bin Zhou
In this paper, we establish a stability estimate and a uniform estimate for the modulus of continuity of solutions to the degenerate complex Monge-Ampère equation in big cohomology…
Uniform estimates for complex Monge-Ampère equations: big cohomology classes
Quang-Tuan Dang, Lei Zhang, Bin Zhou
We prove uniform a priori estimates for solutions to degenerate complex Monge--Ampère equations in big cohomology classes, using both auxiliary-function technique developed by Guo,…
Regularity of solutions to Monge--Ampère equations on compact Hermitian manifolds
Quang-Tuan Dang
We study the stability and Hölder continuity of solutions to degenerate complex Monge--Ampère equations associated with a non-closed big form on compact Hermitian manifolds. We als…
Singularities of the Chern-Ricci flow
Quang-Tuan Dang
We study the nature of finite-time singularities for the Chern-Ricci flow, partially answering a question of Tosatti-Weinkove. We show that a solution of degenerate parabolic compl…
Pluripotential Chern-Ricci Flows
Quang-Tuan Dang
Extending a recent theory developed on compact Kähler manifolds by Guedj-Lu-Zeriahi and the author, we define and study pluripotential solutions to degenerate parabolic complex Mon…
Pluripotential Monge-Amp{è}re flows in Big Cohomology Classes
Quang-Tuan Dang
We study pluripotential complex Monge-Ampère flows in big cohomology classes on compact K{ä}hler manifolds. We use the Perron method, considering pluripotential subsolutions to the…
Continuity of Monge-Amp{è}re Potentials in Big Cohomology Classes
Quang-Tuan Dang
Extending DiNezza-Lu's approach to the setting of big cohomology classes, we prove that solutions of degenerate complex Monge-Amp{è}re equations on compact K{ä}hler manifolds are c…