Publications (37)
Critical quasilinear equations on Riemannian manifolds
Linlin Sun, Youde Wang
In this paper, we investigate critical quasilinear elliptic partial differential equations on a complete Riemannian manifold with nonnegative Ricci curvature. By exploiting a new a…
Rigidity theorems for minimal Lagrangian surfaces with Legendrian capillary boundary
Yong Luo, Linlin Sun
In this note, we study minimal Lagrangian surfaces in with Legendrian capillary boundary on . On the one hand, we prove that any minimal Lagrangian sur…
Interfacial performance evolution of ceramics-in-polymer composite electrolyte in solid-state lithium metal batteries
Ao Cheng, Linlin Sun, Nicola Menga +2
The incorporation of ceramics into polymers, forming solid composite electrolytes (SCEs) leads to enhanced electrical performance of all-solid-state lithium metal batteries. This i…
Topological degree for Chern-Simons Higgs models on finite graphs
Jiayu Li, Linlin Sun, Yunyan Yang
Let be a finite connected graph. We are concerned about the Chern-Simons Higgs model where is the graph L…
On -dimensional complete self-similar solutions to the mean curvature flow in with nonnegative constant scalar curvature
Yong Luo, Linlin Sun, Jiabin Yin
As is well known, self-similar solutions to the mean curvature flow, including self-shrinkers, translating solitons and self-expanders, arise naturally in the singularity analysis…
Some sharp differential sphere theorems for nonnegative scalar curvature manifolds
Qing Cui, Linlin Sun
In this paper, we obtain several new intrinsic and extrinsic differential sphere theorems via Ricci flow. For intrinsic case, we show that a closed simply connected -dime…
Dirac-harmonic maps with trivial index
Jürgen Jost, Linlin Sun, Jingyong Zhu
For a homotopy class of maps between a closed Riemannian manifold and a general manifold , we want to find a Dirac-harmonic map with the map component in the given hom…
Boundary value problem for the mean field equation on a compact Riemann surface
Jiayu Li, Linlin Sun, Yunyan Yang
Let be a compact Riemann surface with smooth boundary , be the Laplace-Beltrami operator, and be a positive smooth function. Using a min-max scheme…
A new characterization of the Calabi torus in the unit sphere
Yong Luo, Linlin Sun, Jiabin Yin
In this paper, we study the rigidity theorem of closed minimally immersed Legendrian submanifolds in the unit sphere. Utilizing the maximum principle, we obtain a new characterizat…
Extrinsic eigenvalue estimates for Dirac operator
Qun Chen, Linlin Sun
In this note, we prove lower and upper bounds for Dirac operators of submanifolds in certain ambient manifolds in terms of conformal and extrinsic quantities.
On the volume of locally conformally flat 4 dimensional hypersphere
Qing Cui, Linlin Sun
Let be a 5 dimensional Riemannian manifold with , be a locally conformally flat hypersphere in with mean curvature . We prove that, there exists $\va…
Optimal Liouville theorems for the Lane-Emden equation on Riemannian manifolds
Jie He, Linlin Sun, Youde Wang
We study degenerate quasilinear elliptic equations on Riemannian manifolds and obtain several Liouville theorems. Notably, we provide rigorous proof asserting the nonexistence of p…
Critical mean field equations for equilibrium turbulence with sign-changing prescribed functions
Linlin Sun, Xiaobao Zhu
Let be a compact Riemann surface with unit area. We investigate the mean field equation for equilibrium turbulence: \begin{align} \begin{cases} -Îu = Ï_1\left(\frac{h_1e^…
Optimal Power Allocation for Secure Directional Modulation Networks with a Full-duplex UAV User
Feng Shu, Zaoyu Lu, Shuo Zhang +6
This paper make an investigation of a secure unmanned aerial vehicle (UAV)-aided communication network based on directional modulation(DM), in which one ground base station (Alice)…
Existence theory for elliptic equations of general exponential nonlinearity on finite graphs
Bobo Hua, Linlin Sun, Jiaxuan Wang
We study semilinear elliptic equations on finite graphs with fully general exponential nonlinearities, thereby extending classical equations such as the Kazdan-Warner and Chern-Sim…
Pilot-Based Channel Estimation Design in Covert Wireless Communication
Tingzhen Xu, Linlin Sun, Shihao Yan +2
In this work, for the first time, we tackle channel estimation design with pilots in the context of covert wireless communication. Specifically, we consider Rayleigh fading for the…
Rigidity of closed CSL submanifolds in the unit sphere
Yong Luo, Linlin Sun
A contact stationary Legendrian submanifold (briefly, CSL submanifold) is a stationary point of the volume functional of Legendrian submanifolds in a Sasakian manifold. Much effort…
Brouwer degree for Kazdan-Warner equations on a connected finite graph
Linlin Sun, Liuquan Wang
We study Kazdan-Warner equations on a connected finite graph via the method of the degree theory. Firstly, we prove that all solutions to the Kazdan-Warner equation with nonzero pr…
Sinh-Gordon equations on finite graphs
Linlin Sun
In this paper, we focus on the sinh-Gordon equation on graphs. We introduce a uniform a priori estimate to define the topological degree for this equation with nonzero prescribed f…
Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem
Qun Chen, Jürgen Jost, Linlin Sun +1
We develop estimates for the solutions and derive existence and uniqueness results of various local boundary value problems for Dirac equations that improve all relevant results kn…
Existence results for Toda systems with sign-changing prescribed functions: Part II
Linlin Sun, Xiaobao Zhu
Let be a compact Riemann surface with area . We investigate the Toda system \begin{align} \begin{cases} -Îu_1 = 2Ï_1(h_1e^{u_1}-1) - Ï_2(h_2e^{u_2}-1),\\ -Îu_2 = 2Ï…
Sphere theorems for Lagrangian and Legendrian submanifolds
Jun Sun, Linlin Sun
In this paper, we prove some differentiable sphere theorems and topological sphere theorems for Lagrangian submanifolds in Kähler manifold and Legendrian submanifolds in Sasaki sp…
Existence of Kazdan-Warner equation with sign-changing prescribed function
Linlin Sun, Jingyong Zhu
In this paper, we study the following Kazdan-Warner equation with sign-changing prescribed function \begin{align*} -Îu=8Ï\left(\frac{he^{u}}{\int_Σhe^{u}}-1\right) \end{alig…
Alternating Iterative Secure Structure between Beamforming and Power Allocation for UAV-aided Directional Modulation Networks
Feng Shu, Zaoyu Lu, Jinyong Lin +7
In unmanned aerial vehicle (UAV) networks, directional modulation (DM) is adopted to improve the secrecy rate (SR) performance. Alice, a ground base station, behaves as a control c…
Sphere theorems for submanifolds in Kähler Manifold
Jun Sun, Linlin Sun
In this paper, we prove some differentiable sphere theorems and topological sphere theorems for submanifolds in Kähler manifold, especially in complex space forms.
A note on the nonexistence of quasi-harmonic spheres
Jiayu Li, Linlin Sun
In this paper we study the properties of quasi-harmonic spheres from . We show that if the universal covering of admits a nonnegative strictly convex func…
A Robust Secure Hybrid Analog and Digital Receive Beamforming Scheme for Efficient Interference Reduction
Linlin Sun, Yaolu Qin, Feng Shu +6
Medium-scale or large-scale receive antenna array with digital beamforming can be employed at receiver to make a significant interference reduction, but leads to expensive cost and…
Complete Willmore Legendrian surfaces in are minimal Legendrian surfaces
Yong Luo, Linlin Sun
In this paper we continue to consider Willmore Legendrian surfaces and csL Willmroe surfaces in , notions introduced by Luo in \cite{Luo}. We will prove that every co…
A flow approach to the Toda system
Yong Luo, Linlin Sun, Guofang Wang
In this paper we introduce a flow to study the Toda system, which we call {\it Toda flow.} More generally, we introduce a flow of the Liouville systems, formulated as a coupled par…
UAV-enabled Secure Communication with Finite Blocklength
Yuntian Wang, Xiaobo Zhou, Zhihong Zhuang +4
In the finite blocklength scenario, which is suitable for practical applications, a method of maximizing the average effective secrecy rate (AESR) is proposed for a UAV-enabled sec…
Optimal lower eigenvalue estimates for Hodge-Laplacian and applications
Qing Cui, Linlin Sun
In this paper, we consider the eigenvalue problem for Hodge-Laplacian on a Riemannian manifold isometrically immersed into another Riemannian manifold for arbitrary co…
Energy-efficient Alternating Iterative Secure Structure of Maximizing Secrecy Rate for Directional Modulation Networks
Linlin Sun, Jiayu Li, Yu Zhang +6
In a directional modulation (DM) network, the issues of security and privacy have taken on an increasingly important role. Since the power allocation of confidential message and ar…
Existence results for a generalized mean field equation on a closed Riemann surface
Linlin Sun, Yamin Wang, Yunyan Yang
Let be a closed Riemann surface, a positive smooth function on , and real numbers. In this paper, we study a generalized mean field equation \begin{align*} -…
Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function
Linlin Sun, Jingyong Zhu
We consider an evolution problem associated to the Kazdan-Warner equation on a closed Riemann surface \begin{align*} -Î_{g}u=8Ï\left(\frac{he^{u}}{\int_Σhe^{u}{\rm d}μ…
Mean curvature flow of surfaces in a hyperkähler -manifold
Hongbing Qiu, Linlin Sun
In this paper, we firstly prove that every hyper-Lagrangian submanifold in a hyperkähler -manifold is a complex Lagrangian submanifold. Secondly, we demonstra…
Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space
Hongbing Qiu, Linlin Sun
In this paper, we firstly establish a new volume growth estimate for spacelike entire graphs in the pseudo-Euclidean space . Then by using this volume growth es…
A remark on a Bernstein type result for -hypersurfaces
Hongbing Qiu, Linlin Sun
We proved that any complete hypersurface in the Euclidean space whose Gauss image is contained in an open hemisphere has to be proper. As applications, we derive…