Yuhao Yan

collaborators

3 papers

math.DG2007

Uniform Estimates for the Constant Mean Curvature Solutions of the Vacuum Einstein Constraint Equations on Compact Manifolds

Yu Yan

We give some uniform estimates for constant mean curvature solutions of the conformal vacuum Einstein constraint equations on compact manifolds. Existence of those solutions was gi…

math.DG2007

The Scalar Curvature Deformation Equation on Locally Conformally Flat Manifolds

Yu Yan

We study the equation $Δ_{g} u - \frac{n - 2}{4 ( n - 1 )} R (g) u + K u^{p} = 0 (1 + ζ \leq p \leq \frac{n + 2}{n - 2})$ on locally conformally flat compact manifolds $(M^{n}, g)$ . We prove the following: (i)…

math.DG2006

Some Compactness Results Related to Scalar Curvature Deformation

Yu Yan

Motivated by the prescribing scalar curvature problem, we study the equation $Δ_{g} u + K u^{p} = 0 (1 + ζ \leq p \leq \frac{n + 2}{n - 2})$ on locally conformally flat manifolds $(M, g)$ with $R(…