Xiaobao Zhu

activity

20122023

most citedA singular Moser-Trudinger inequality for mean value zero functions in dimension two

5 citations · 11 across the 14 of their papers we have counts for

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math.DG2023

Liouville Theorem for Harmonic Maps from Riemannian Manifold with Compact Boundary

Jun Sun, Xiaobao Zhu

In this note we will provide a gradient estimate for harmonic maps from a complete noncompact Riemannian manifold with compact boundary (which we call "Kasue manifold") into a simp…

math.DG2022

Another remark on a result of Ding-Jost-Li-Wang

Xiaobao Zhu

Let $(M, g)$ be a compact Riemann surface, $h$ be a positive smooth function on $M$ . It is well known the functional $$J(u)=\frac{1}{2}\int_M|\nabla u|^2dv_g+8π\int_M udv_g-8π\log\i…

math.DG2016

A generalized Trudinger-Moser inequality on a compact Riemannian surface

Xiaobao Zhu

Let $(Σ, g)$ be a compact Riemannian surface. Let $ψ$ , $h$ be two smooth functions on $Σ$ with $\int_{Σ} ψ d v_{g} \neq = 0$ and $h \geq 0$ , $h \neq \equiv 0$ . In this paper, using a method of b…

math.DG2013

Trudinger-Moser embedding on the hyperbolic space

Yunyan Yang, Xiaobao Zhu

In [16], we established Trudinger-Moser inequalities for complete noncompact Riemannian manifold on which the Ricci curvature has lower bound and the injectivity radius is strictly…