9 citations · 25 across the 10 of their papers we have counts for
4 papers · 1 filter
Unique tangent behavior for 1-dimensional stationary varifolds
Xiangyu Liang
We prove that, without any assumption on lower density bound or codimension, any 1-dimensional stationary varifold on any Riemannian manifold admits unique tangent behaviour everyw…
Uniqueness of 2-dimensional minimal cones in
Xiangyu Liang
In this article we treat two closely related problems: 1) the upper semi continuity property for Almgren minimal sets in regions with regular boundary, which guanrantees that the u…
Measure and sliding stability for 2-dimensional minimal cones in Euclidean spaces
Xiangyu Liang
In this article we prove the measure stability for all 2-dimensional Almgren minimal cones in , and the Almgren (resp. topological) sliding stability for the 2-dimens…
Minimality for unions of 2-dimensional minimal cones with non-isolated singularities
Xiangyu Liang
In this article we prove that for a large class of 2-dimensional minimal cones (including almost all 2-dimensional minimal cones that we know), the almost orthogonal union of any t…