Lei Wang

collaborators

4 papers

math.AP2019

Divergent operator with degeneracy and related sharp inequalities

Jingbo Dou, Liming Sun, Lei Wang +1

In this paper we classify all positive extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves divergent operators with degeneracy on the…

math.AP2019

Nonlinear elliptic equations on the upper half space

Sufanf Tang, Lei Wang, Meijun Zhu

In this paper we shall classify all positive solutions of $Δ u = a u^{p}$ on the upper half space $H = R_{+}^{n}$ with nonlinear boundary condition $ {\partial u}/{\partial t}= - b…

math.AP2019

Liouville theorems on the upper half space

Lei Wang, Meijun Zhu

In this paper we shall establish some Liouville theorems for solutions bounded from below to certain linear elliptic equations on the upper half space. In particular, we show that…

math.CV2018

Classification of proper holomorphic mappings between certain unbounded non-hyperbolic domains

Zhenhan Tu, Lei Wang

The Fock-Bargmann-Hartogs domain $D_{n, m} (μ)$ ( $μ > 0$ ) in $C^{n + m}$ is defined by the inequality $∥ w ∥^{2} < e^{- μ ∥ z ∥^{2}},$ where $(z, w) \in C^{n} \times C^{m}$ ,…