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math.DG2020★ 6 cited
The relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space
Lei Liu, Guofang Wang, Liangjun Weng
In this paper, we mainly consider the relative isoperimetric inequalities for minimal submanifolds with free boundary. We first generalize ideas of restricted normal cones introduc…
math.DG2020★ 17 cited
A mean curvature type flow with capillary boundary in a unit ball
Guofang Wang, Liangjun Weng
In this paper, we study a mean curvature type flow with capillary boundary in the unit ball. Our flow preserves the volume of the bounded domain enclosed by the hypersurface, and m…