T. Bourni

activity

20102026

most citedA collapsing ancient solution of mean curvature flow in

R^{3}

15 citations · 29 across the 28 of their papers we have counts for

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math.AP2013

An Allard type regularity theorem for varifolds with Hölder continuous generalized normal

Theodora Bourni, Alexander Volkmann

We prove that Allard's regularity theorem holds for rectifiable $n$ -dimensional varifolds $V$ assuming a weaker condition on the first variation. This, in the special case when $V$ …

math.AP2010

Allard-type boundary regularity for $C^{1, α}$ boundaries

Theodora Bourni

In this paper we show boundary monotonicity formulae for rectifiable varifolds having a $C^{1, α}$ "boundary". In particular, we show that the area ratios of balls centered at this…

An Allard type regularity theorem for varifolds with Hölder continuous generalized normal

Allard-type boundary regularity for C1,α boundaries

Allard-type boundary regularity for $C^{1, α}$ boundaries