Yi Wang

activity

20162018

collaborators

6 papers

math.DG2018

On the Sobolev-Poincare inequality of CR-manifolds

Yi Wang, Paul Yang

The purpose is to study the CR-manifold with a contact structure conformal to the Heisenberg group. In our previous work \cite{WY}, we have proved that if the $Q^{'}$ -curvature is non…

math.CO2017

Asymptotic normality of Laplacian coefficients of graphs

Yi Wang, Haixia Zhang, Baoxuan Zhu

Let $G$ be a simple graph with $n$ vertices and let $C (G; x) = k = 0 \sum n (- 1)^{n - k} c (G, k) x^{k}$ denote the Laplacian characteristic polynomial of $G$ . Then if the size $∣ E (G) ∣$ is l…

math.DG2017

Boundary operators associated to the $σ_{k}$ -curvature

Jeffrey S. Case, Yi Wang

We study conformal deformation problems on manifolds with boundary which include prescribing $σ_{k} \equiv 0$ in the interior. In particular, we prove a Dirichlet principle when the in…

math.DG2017

Integrability of scalar curvature and normal metric on conformally flat manifolds

Shengwen Wang, Yi Wang

On a manifold $(R^{n}, e^{2 u} ∣ d x ∣^{2})$ , we say $u$ is normal if the $Q$ -curvature equation that $u$ satisfies $(- Δ)^{\frac{n}{2}} u = Q_{g} e^{n u}$ can be written as the integ…

math.AP2016

A fully nonlinear Sobolev trace inequality

Jeffrey S. Case, Yi Wang

The $k$ -Hessian operator $σ_{k}$ is the $k$ -th elementary symmetric function of the eigenvalues of the Hessian. It is known that the $k$ -Hessian equation $σ_{k} (D^{2} u) = f$ with Dirichlet…

math.DS2016

Monotone semiflows with respect to high-rank cones on a Banach space

Lirui Feng, Yi Wang, Jianhong Wu

We consider semiflows in general Banach spaces motivated by monotone cyclic feedback systems or differential equations with integer-valued Lyapunov functionals. These semiflows enj…