Yangqin Fang

activity

20132022

most citedExistence of solutions to a general geometric elliptic variational problem

17 citations · 17 across the 8 of their papers we have counts for

collaborators

9 papers

math.CA2022

On the Reifenberg Plateau Problem in Hilbert space

Yangqin Fang

In this paper, we will solve the Reifenberg Plateau Problem in Hilbert space.

math.CA2020

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…

math.CA2020

Quasiminimal sets and Plateau's problem with Čech homological conditions on $C^{2}$ submanifold

Yangqin Fang

Let $Ω \subseteq R^{n}$ be an $m$ -dimensional closed submanifold of class $C^{2}$ , $d$ be a positive integer between 1 and $m$ . We will study the geometric and topological prop…

math.CA2019

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…

math.AP2017

A note on the convergence of almost minimal sets

Yangqin Fang

In this paper, we will show that Hausdorff convergence and varifold convergence coincide on the class of almost minimal sets.

math.AP2017★ 17 cited

Existence of solutions to a general geometric elliptic variational problem

Yangqin Fang, Sławomir Kolasiński

We consider the problem of minimising an inhomogeneous anisotropic elliptic functional in a class of closed $m$ dimensional subsets of $R^{n}$ which is stable under taking s…

math.CA2016

Local $C^{1, β}$ -regularity at the boundary of two dimensional sliding almost minimal sets in $R^{3}$

Yangqin Fang

In this paper, we will give a $C^{1, β}$ -regularity result on the boundary for two dimensional sliding almost minimal sets in $R^{3}$ . This effect may lead to the existence o…

math.CA2015

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 $R^{3}$ . It is quite important for understandin…

math.CA2013

Existence of Minimizers for the Reifenberg Plateau problem

Yangqin Fang

That is, given a compact set $B \subset R^{n}$ (the boundary) and a subgroup $L$ of the Čech homology group $H ˇ_{d - 1} (B; G)$ of dimension $d$ over some commutative gro…

On the Reifenberg Plateau Problem in Hilbert space

The weak convergence of varifolds generated by rectifiable flat G-chains

Quasiminimal sets and Plateau's problem with Čech homological conditions on C2 submanifold

On the equality between the infimum obtained by solving various Plateau's problem

A note on the convergence of almost minimal sets

Existence of solutions to a general geometric elliptic variational problem

Local C1,β-regularity at the boundary of two dimensional sliding almost minimal sets in R3

Hölder regularity at the boundary of two-dimensional sliding almost minimal sets

Existence of Minimizers for the Reifenberg Plateau problem

Quasiminimal sets and Plateau's problem with Čech homological conditions on $C^{2}$ submanifold

Local $C^{1, β}$ -regularity at the boundary of two dimensional sliding almost minimal sets in $R^{3}$