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math.CA2011★ 6 cited
Topological minimal sets and their applications
Xiangyu Liang
In this article we introduce a definition of topological minimal sets, which is a generalization of that of Mumford-Shah-minimal sets. We prove some general properties as well as t…
math.CA2011★ 9 cited
Almgren-minimality of unions of two almost orthogonal planes in
Xiangyu Liang
In this article we prove that the union of two almost orthogonal planes in R4 is Almgren-minimal. This gives an example of a one parameter family of minimal cones, which is a pheno…