Jing Mao

activity

20112022

most citedEigenvalue inequalities for the p-Laplacian on a Riemannian manifold and estimates for the heat kernel

39 citations · 122 across the 36 of their papers we have counts for

collaborators

36 papers

math.SP2022★ 1 cited

Pólya-type inequalities on spheres and hemispheres

Pedro Freitas, Jing Mao, Isabel Salavessa

Given an eigenvalue $λ$ of the Laplace-Beltrami operator on $n -$ spheres or $-$ hemispheres, with multiplicity $m$ such that $λ = λ_{k} = \dots = λ_{k + m - 1}$ , we characterise the lowest a…

math.AP2022

Pogorelov type estimates for a class of Hessian quotient equations in Lorentz-Minkowski space $R_{1}^{n + 1}$

Chenyang Liu, Jing Mao, Yating Zhao

Let $Ω$ be a bounded domain (with smooth boundary) on the hyperbolic plane $H^{n} (1)$ , of center at origin and radius $1$ , in the $(n + 1)$ -dimensional Lorentz-Minkowski sp…

math.DG2021

Prescribed Weingarten curvature equations in warped product manifolds

Ya Gao, Chenyang Liu, Jing Mao

In this paper, under suitable settings, we can obtain the existence of solutions to a class of prescribed Weingarten curvature equations in warped product manifolds of special type…

math.DG2021

The Dirichlet problem for a class of Hessian quotient equations in Lorentz-Minkowski space $R_{1}^{n + 1}$

Ya Gao, YanLing Gao, Jing Mao

In this paper, under suitable settings, we can obtain the existence and uniqueness of solutions to a class of Hessian quotient equations with Dirichlet boundary condition in Lorent…

math.DG2021

Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space $R_{1}^{n + 1}$

Ya Gao, Jie Li, Jing Mao +1

In this paper, we can obtain curvature estimates for spacelike admissible graphic hypersurfaces in the $(n + 1)$ -dimensional Lorentz-Minkowski space $R_{1}^{n + 1}$ , and throu…

math.DG2021★ 1 cited

An anisotropic inverse mean curvature flow for spacelike graphic curves in Lorentz-Minkowski plane $R_{1}^{2}$

Ya Gao, Chenyang Liu, Jing Mao

In this paper, we consider the evolution of spacelike graphic curves defined over a piece of hyperbola $H^{1} (1)$ , of center at origin and radius $1$ , in the $2$ dimensio…

math.DG2021★ 2 cited

Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space $R_{1}^{n + 1}$

Ya Gao, Jing Mao

In this paper, we consider the evolution of spacelike graphic hypersurfaces defined over a convex piece of hyperbolic plane $H^{n} (1)$ , of center at origin and radius $1$ …

math.DG2021★ 2 cited

An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space $R_{1}^{n + 1}$

Ya Gao, Jing Mao

In this paper, we consider the evolution of spacelike graphic hypersurfaces defined over a convex piece of hyperbolic plane $H^{n} (1)$ , of center at origin and radius $1$ …

math.DG2021

Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane $R_{1}^{2}$

Ya Gao, Jinghua Li, Jing Mao

In this paper, we investigate the evolution of spacelike curves in Lorentz-Minkowski plane $R_{1}^{2}$ along prescribed geometric flows (including the classical curve shor…

math.DG2021★ 3 cited

A class of inverse curvature flows for star-shaped hypersurfaces evolving in a cone

Jing Mao, Qiang Tu

Given a smooth convex cone in the Euclidean $(n + 1)$ -space ( $n \geq 2$ ), we consider strictly mean convex hypersurfaces with boundary which are star-shaped with respect to the center…

math.DG2021★ 3 cited

A stability result for translating space-like graphs in Lorentz manifolds

Ya Gao, Jing Mao, Chuanxi Wu

In this paper, we investigate space-like graphs defined over a domain $Ω \subset M^{n}$ in the Lorentz manifold $M^{n} \times R$ with the metric $- d s^{2} + σ$ , where $M^{n}$ is…

math.DG2020

Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order

Feng Du, Lanbao Hou, Jing Mao +1

In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) suppo…

math.DG2020

Sharp eigenvalue estimates and related rigidity theorems

Yanlin Deng, Feng Du, Jing Mao +1

In this paper, sharp bounds for the first nonzero eigenvalues of different type have been obtained. Moreover, when those bounds are achieved, related rigidities can be characterize…

math.DG2020

Existence and uniqueness of solutions to the constant mean curvature equation with nonzero Neumann boundary data in product manifold $M^{n} \times R$

Ya Gao, Jing Mao, Chun-Lan Song

In this paper, we can prove the existence and uniqueness of solutions to the constant mean curvature (CMC for short) equation with nonzero Neumann boundary data in product manifold…

math.DG2020★ 1 cited

Translating solutions of the nonparametric mean curvature flow with nonzero Neumann boundary data in product manifold $M^{n} \times R$

Ya Gao, Yi-Juan Gong, Jing Mao

In this paper, we can prove the existence of translating solutions to the nonparametric mean curvature flow with nonzero Neumann boundary data in a prescribed product manifold $M^{…

math.DG2019★ 1 cited

Geometry and topology of manifolds with integral radial curvature bounds

Jing Mao

In this paper, we systematically investigate the geometry and topology of manifolds with integral radial curvature bounds, and obtain many interesting and important conclusions.

math.DG2019★ 3 cited

Estimates for eigenvalues of the Neumann and Steklov problems

Feng Du, Jing Mao, Qiaoling Wang +2

We prove Li-Yau-Kröger type bounds for Neumann-type eigenvalues of the poly-harmonic operator and of the biharmonic operator on bounded domains in a Euclidean space. We also prove…

math.DG2018

Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates

Yan Zhao, Chuanxi Wu, Jing Mao +1

In this paper, two interesting eigenvalue comparison theorems for the first non-zero Steklov eigenvalue of the Laplacian have been established for manifolds with radial sectional c…

math.DG2018★ 3 cited

Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem

Feng Du, Jing Mao, Qiao-Ling Wang +1

In this paper, we prove some isoperimetric bounds for lower order eigenvalues of the Wentzell-Laplace operator on bounded domains of a Euclidean space or a Hadamard manifold, of th…

math.DG2018

Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold $M^{2} \times R$

Li Chen, Dan-Dan Hu, Jing Mao +1

In this paper, for the Lorentz manifold $M^{2} \times R$ , with $M^{2}$ a $2$ -dimensional complete surface with nonnegative Gaussian curvature, we investigate its space-like…

math.DG2018

Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds $N \times R$

Jing Mao, Rong-Qiang Tu, Kai Zeng

In this paper, we investigate submanifolds with locally bounded mean curvature in Hadamard manifolds, product manifolds $N \times R$ , submanifolds with bounded $φ$ -mean curv…

math.DG2017★ 7 cited

Hyperbolic inverse mean curvature flow

Zhe Zhou, Chuan-Xi Wu, Jing Mao

In this paper, we prove the short-time existence of hyperbolic inverse (mean) curvature flow (with or without the specified forcing term) under the assumption that the initial comp…

math.DG2017★ 4 cited

Inverse mean curvature flow inside a cone in warped products

Li Chen, Jing Mao, Ni Xiang +1

Given a convex cone in the \emph{prescribed} warped product, we consider hypersurfaces with boundary which are star-shaped with respect to the center of the cone and which meet the…

math.DG2016

Monge-Ampère type equations with Neumann boundary conditions on Riemannian manifolds

Xi Guo, Jing Mao, Ni Xiang

In this paper, we consider the global regularity for Monge-Ampère type equations with the Neumann boundary conditions on Riemannian manifolds. It is known that the classical solvab…

Pólya-type inequalities on spheres and hemispheres

Pogorelov type estimates for a class of Hessian quotient equations in Lorentz-Minkowski space R1n+1​

Prescribed Weingarten curvature equations in warped product manifolds

The Dirichlet problem for a class of Hessian quotient equations in Lorentz-Minkowski space R1n+1​

Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space R1n+1​

An anisotropic inverse mean curvature flow for spacelike graphic curves in Lorentz-Minkowski plane R12​

Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space R1n+1​

An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space R1n+1​

Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane R12​

A class of inverse curvature flows for star-shaped hypersurfaces evolving in a cone

A stability result for translating space-like graphs in Lorentz manifolds

Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order

Sharp eigenvalue estimates and related rigidity theorems

Existence and uniqueness of solutions to the constant mean curvature equation with nonzero Neumann boundary data in product manifold Mn×R

Translating solutions of the nonparametric mean curvature flow with nonzero Neumann boundary data in product manifold Mn×R

Geometry and topology of manifolds with integral radial curvature bounds

Estimates for eigenvalues of the Neumann and Steklov problems

Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates

Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem

Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold M2×R

Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds N×R

Hyperbolic inverse mean curvature flow

Inverse mean curvature flow inside a cone in warped products

Monge-Ampère type equations with Neumann boundary conditions on Riemannian manifolds

Pogorelov type estimates for a class of Hessian quotient equations in Lorentz-Minkowski space $R_{1}^{n + 1}$

The Dirichlet problem for a class of Hessian quotient equations in Lorentz-Minkowski space $R_{1}^{n + 1}$

Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space $R_{1}^{n + 1}$

An anisotropic inverse mean curvature flow for spacelike graphic curves in Lorentz-Minkowski plane $R_{1}^{2}$

Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space $R_{1}^{n + 1}$

An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space $R_{1}^{n + 1}$

Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane $R_{1}^{2}$

Existence and uniqueness of solutions to the constant mean curvature equation with nonzero Neumann boundary data in product manifold $M^{n} \times R$

Translating solutions of the nonparametric mean curvature flow with nonzero Neumann boundary data in product manifold $M^{n} \times R$

Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold $M^{2} \times R$

Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds $N \times R$