Yuhao Yan

activity

20062023

collaborators

7 papers

math.CA2023

On the Local Regularity of the Hilbert Transform

Yifei Pan, Jianfei Wang, Yu Yan

In this paper the local regularity of the Hilbert transform is considered, and local smoothness and real analyticity results are obtained.

math.AP2022

Construction of Twice Differentiable Functions with Continuous Laplacian and Bounded Hessian

Yifei Pan, Yu Yan

We construct examples of twice differentiable functions in $R^{n}$ with continuous Laplacian and bounded Hessian. The same construction is also applicable to higher order di…

math.AP2022

Examples of Twice Differentiable Functions in $R^{n}$ with Continuous Laplacian and Unbounded Hessian

Yifei Pan, Yu Yan

We construct examples of twice differentiable functions in $R^{n}$ with continuous Laplacian and unbounded Hessian. The same construction is also applicable to higher order…

math.AP2021

Classification of Positive Radial Solutions to A Weighted Biharmonic Equation

Yuhao Yan

In this paper, we consider the weighted fourth order equation $$Δ(|x|^{-α}Δu)+λ\text{div}(|x|^{-α-2}\nabla u)+μ|x|^{-α-4}u=|x|^βu^p\quad \text{in} \quad \mathbb{R}^n \backslash \{0…

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…