1 citations · 3 across the 9 of their papers we have counts for
11 papers
On the conformal bending of a closed Riemannian manifold
Rirong Yuan
In this paper, we bend a closed Riemannian manifold in the conformal class, through solving a fully nonlinear equation. As a result, we prove that each metric of quasi-negative Ric…
The Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds
Rirong Yuan
We derive the existence of -solutions to the Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds under appropriate assumptions.
On the level set version of partial uniform ellipticity and applications
Rirong Yuan
We derive level set version of partial uniform ellipticity for symmetric concave functions. This suggests an effective approach to investigate second order fully nonlinear equation…
The Dirichlet problem for Monge-Ampère equation for -PSH functions on Hermitian manifolds
Rirong Yuan
We solve the Dirichlet problem for Monge-Ampère equation for -PSH functions possibly with degenerate right-hand side, through deriving a quantitative version of boundary est…
On the regularity of Dirichlet problem for fully non-linear elliptic equations on Hermitian manifolds
Rirong Yuan
We derive the solvability and regularity of the Dirichlet problem for fully non-linear elliptic equations possibly with degenerate right-hand side on Hermitian manifolds, through e…
Regularity of fully non-linear elliptic equations on Hermitian manifolds
Rirong Yuan
In this paper we propose new insights and ideas to set up quantitative boundary estimates for solutions to Dirichlet problem of a class of fully non-linear elliptic equations on co…