Ruosi Chen

collaborators

3 papers

math.AP2026

Regularity for convex viscosity solutions of $I ¨ _{2}$ Equation

Ruosi Chen, Huaiyu Jian, Xushan Tu +1

We prove interior $C^{2}$ regularity result for convex viscosity solutions of the quadratic Hessian equation $I ¨ _{2} (D^{2} u) = f (x)$ , under the assumption that $f \in C^{0, 1}$ with $\in…

math.AP2024

New Approach for Interior Regularity of Monge-AmpÃ¨re Equations

Ruosi Chen, Xingchen Zhou

By developing an integral approach, we present a new method for the interior regularity of strictly convex solution of the Monge-AmpÃ¨re equation $det D^{2} u = 1$ .

math.AP2024

An Integral Approach to Prescribing Scalar Curvature Equations

Ruosi Chen, Huaiyu Jian, Xingchen Zhou

We develop an integral approach to obtain interior a priori $C^{1, 1}$ estimates for convex solutions of prescribing scalar curvature equations $I ¨ _{2} (I^º) = f (x)$ as well as the Hess…

Regularity for convex viscosity solutions of I¨2​ Equation

New Approach for Interior Regularity of Monge-AmpÃ¨re Equations

An Integral Approach to Prescribing Scalar Curvature Equations

Regularity for convex viscosity solutions of $I ¨ _{2}$ Equation