Xiaobao Zhu

activity

20122018

most citedA new proof of subcritical Trudinger-Moser inequalities on the whole Euclidean space

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.AP2018

Mean field equations on a closed Riemannian surface with the action of an isometric group

Yunyan Yang, Xiaobao Zhu

Let $(Σ, g)$ be a closed Riemannian surface, $G = {σ_{1}, \dots, σ_{N}}$ be an isometric group acting on it. Denote a positive integer $ℓ = in f_{x \in Σ} I (x)$ , where $I (x)$ is t…

math.AP2018

A Trudinger-Moser inequality for conical metric in the unit ball

Yunyan Yang, Xiaobao Zhu

In this note, we prove a Trudinger-Moser inequality for conical metric in the unit ball. Precisely, let $B$ be the unit ball in $R^{N}$ $(N \geq 2)$ , $p > 1$ , $g=|x|^{…

math.AP2017

Prescribing Gaussian curvature on closed Riemann surface with conical singularity in the negative case

Yunyan Yang, Xiaobao Zhu

The problem of prescribing Gaussian curvature on Riemann surface with conical singularity is considered. Let $(Σ, β)$ be a closed Riemann surface with a divisor $β$ , and $K_{λ} = K + λ$ ,…

math.AP2017

Existence of solutions to a class of Kazdan-Warner equations on compact Riemannian surface

Yunyan Yang, Xiaobao Zhu

Let $(Σ, g)$ be a compact Riemannian surface without boundary and $λ_{1} (Σ)$ be the first eigenvalue of the Laplace-Beltrami operator $Δ_{g}$ . Let $h$ be a positive smooth function on $…

math.AP2012★ 2 cited

A new proof of subcritical Trudinger-Moser inequalities on the whole Euclidean space

Yunyan Yang, Xiaobao Zhu

In this note, we give a new proof of subcritical Trudinger-Moser inequality on $R^{n}$ . All the existing proofs on this inequality are based on the rearrangement argument wi…