7 citations · 20 across the 9 of their papers we have counts for
11 papers
Radial Powered Mean Curvature Flow with Robin Boundary Conditions
Tianhong Pu, Xiaoqian Xin, Lixia Yuan
We study a positive radial graph evolving by , with and , in the unit cylinder and with . We separate finite-time continuation estimates from t…
Asymptotic Dynamics of Forced Curvature Flow in a Planar Strip with Robin Boundary Conditions
Tianhong Pu, Xiaoqian Xin, Lixia Yuan +1
We study the graphical forced mean curvature flow in a planar strip subject to Robin boundary conditions. The normal velocity is prescribed by , where is constant and…
Dimension-Dependent Asymptotic Dynamics for Mean Curvature Flow with Robin Boundary Conditions
Xinfu Chen, Bendong Lou, Xiaoliu Wang +1
We consider a graphical mean curvature flow in a cylinder with Robin boundary conditions, which arises as a geometric model for interface motion in the singular limit of the Allen-…
Translating Solutions of a Generalized Mean Curvature Flow in a Cylinder: I. Constant Boundary Angles
Bendong Lou, Lixia Yuan
We study a generalized mean curvature flow involving a positive power of the mean curvature and a driving force. In this paper, we first construct all kinds of radially symmetric t…
On a Curvature Flow in a Band Domain with Unbounded Boundary Slopes
Lixia Yuan, Wei Zhao
We consider an anisotropic curvature flow in a band domain , where , and denote the unit normal vector, n…
Convergence to the Grim Reaper for a Curvature Flow with Unbounded Boundary Slopes
Bendong Lou, Xiaoliu Wang, Lixia Yuan
We consider a curvature flow in the band domain , where, for a graphic curve , denotes its normal velocity and denotes its curvature. If $Γ_t…
Nonlinear spectrums of Finsler manifolds
Alexandru Kristály, Zhongmin Shen, Lixia Yuan +1
In this paper we investigate the spectral problem in Finsler geometry. Due to the nonlinearity of the Finsler-Laplacian operator, we introduce \textit{faithful dimension pairs} by…
Lower bounds for eigenvalues of Finsler manifolds
Zhongmin Shen, Lixia Yuan, Wei Zhao
In this paper, we study the spectrums of faithful dimension pairs on a closed Finsler manifold and obtain a Gromov type and a Buser type lower bounds for eigenvalues. Furthermore,…
Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds
Lixia Yuan, Wei Zhao, Yibing Shen
In this paper, we study the sharp constants of quantitative Hardy and Rellich inequalities on nonreversible Finsler manifolds equipped with arbitrary measures. In particular, these…
Some formulas of Santaló type in Finsler geometry and its applications
LiXia Yuan, Wei Zhao
In this paper, we establish two Santaló type formulas for general Finsler manifolds. As applications, we derive a universal lower bound for the first eigenvalue of the nonlinear La…
Cheeger's constant and the first eigenvalue of a closed Finsler manifold
Wei Zhao, Lixia Yuan
In this paper, we consider Cheeger's constant and the first eigenvalue of the nonlinear Laplacian on closed Finsler manifolds. Being based on these, we establish Cheeger's inequali…