Theodora Bourni

collaborators

2 papers

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…

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

Curvature estimates for surfaces with bounded mean curvature

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