Xin Cui — Quant • HFT • ML

\mathrm{C}^2

p

Study $\mathrm{C}^2$ estimates for $p$ -Hessian equations on closed manifolds.

problem Estimating solutions to

p

-Hessian equations on closed Riemannian manifolds.

method Introducing pseudo-solutions to generalize

\mathcal{C}

-subsolution and proving

\mathrm{C}^1

and

\mathrm{C}^2

estimates.

result Proves

\mathrm{C}^2

estimates for general

p

-Hessian equations on closed manifolds under sharp conditions.

arXiv research