7 citations · 20 across the 9 of their papers we have counts for
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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-…
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…