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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3 papers · 1 filter

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…

math.DG2010

$C^{1, α}$ theory for the prescribed mean curvature equation with Dirichlet data

Theodora Bourni

In this work we study solutions of the prescribed mean curvature equation over a general domain that do not necessarily attain the given boundary data. To such a solution, we can n…

math.DG2010

Curvature estimates for surfaces with bounded mean curvature

Theodora Bourni, Giuseppe Tinaglia

Estimates for the norm of the second fundamental form, $∣ A ∣$ , play a crucial role in studying the geometry of surfaces. In fact, when $∣ A ∣$ is bounded the surface cannot bend too s…

Allard-type boundary regularity for C1,α boundaries

C1,α theory for the prescribed mean curvature equation with Dirichlet data

Curvature estimates for surfaces with bounded mean curvature

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

$C^{1, α}$ theory for the prescribed mean curvature equation with Dirichlet data