17 citations · 17 across the 8 of their papers we have counts for
7 papers · 1 filter
On the Reifenberg Plateau Problem in Hilbert space
Yangqin Fang
In this paper, we will solve the Reifenberg Plateau Problem in Hilbert space.
The weak convergence of varifolds generated by rectifiable flat G-chains
Chunyan Liu, Yangqin Fang, Ning Zhang
In the present paper, we prove that the convergence of rectifiable chains in flat norm implies the weak convergence of associated rectifiable varifolds if the limit flat chain is r…
Quasiminimal sets and Plateau's problem with Čech homological conditions on submanifold
Yangqin Fang
Let be an -dimensional closed submanifold of class , be a positive integer between 1 and . We will study the geometric and topological prop…
On the equality between the infimum obtained by solving various Plateau's problem
Yangqin Fang, Vincent Feuvrier, Chunyan Liu
In this paper we will compare the Plateau's problem with Čech and singular homological boundary conditions, we also compare these with the size minimizing problem for integral curr…
Local -regularity at the boundary of two dimensional sliding almost minimal sets in
Yangqin Fang
In this paper, we will give a -regularity result on the boundary for two dimensional sliding almost minimal sets in . This effect may lead to the existence o…
Hölder regularity at the boundary of two-dimensional sliding almost minimal sets
Yangqin Fang
In [15], Jean Taylor has proved a regularity theorem away from boundary for Almgren almost minimal sets of dimension two in . It is quite important for understandin…
Existence of Minimizers for the Reifenberg Plateau problem
Yangqin Fang
That is, given a compact set (the boundary) and a subgroup of the Čech homology group of dimension over some commutative gro…