4 citations · 9 across the 9 of their papers we have counts for
15 papers · 1 filter
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…
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…
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…
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…
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…
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…