66 citations · 93 across the 17 of their papers we have counts for
17 papers
Integration by parts for plurisubharmonic functions
Hoang-Son Do, Giang Le
In this paper, we provide an integration by parts formula for plurisubharmonic functions on a hyperconvex domain that are bounded outside a compact set. This extends a previous res…
Quantitative stability for the complex Monge-Ampere equations
Hoang-Son Do, Duc-Viet Vu
We prove several quantitative stability estimates for solutions of complex Monge-Ampere equations when both the cohomology class and the prescribed singularity vary. In a broad sen…
Viscosity solutions to Parabolic complex Hessian type equations
Hoang-Son Do
In this paper, we show the existence and uniqueness of viscosity solution to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations. This extends recent re…
A comparison principle for parabolic complex Monge-Ampère equations
Hoang-Son Do, Thanh Cong Ngoc Pham
In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Ampère equations on strongly pseudoconvex domains using the viscosity method. We prove a comparison…
On the viscosity approach to a class of fully nonlinear elliptic equations
Hoang-Son Do, Quang Dieu Nguyen
In this paper, we study some properties of viscosity sub/super-solutions of a class of fully nonlinear elliptic equations relative to the eigenvalues of the complex Hessian. We sho…
On the conditional plurisubharmonic envelopes of bounded functions
Hoang-Son Do, Giang Le
In this paper, we extend some recent results of Guedj-Lu-Zeriahi about psh envelopes of bounded functions on bounded domains in . We also present a result on the regu…