3 citations · 3 across the 4 of their papers we have counts for
4 papers
An alternative solvability criterion for the Dirichlet problem for the minimal surface equation and an application to the mean curvature flow
Ari J. Aiolfi, Giovanni da Silva Nunes, Jaime Ripoll +2
We propose an alternative condition for the solvability of the Dirichlet problem for the minimal surface equation that applies to non-mean convex domains. We introduce a structural…
The Dirichlet problem for the minimal hypersurface equation with Lipschitz continuous boundary data on domains of a Riemannian manifold
Ari J. Aiolfi, Giovanni Nunes, Lisandra Sauer +1
Given a C2-domain with compact boundary in an arbitrary complete Riemannian manifold, we search for smallness conditions on the boundary data for which the Dirichlet problem for th…
Constant mean curvature surfaces in with boundary in two parallel planes
Rodrigo Soares, Patrícia Klaser, Miriam Telichevesky
Given some sufficient conditions for existence of CMC graphs with boundary in two parallel planes of are presented. Height est…
On the Dirichlet problem for the CMC graph equation on multiply connected domains of a Riemannian manifold
Ari J. Aiolfi, Giovanni S. Nunes, Lisandra O. Sauer +1
We establish existence and uniqueness of compact graphs of constant mean curvature in MxR over bounded multiply connected domains of Mx{0} with boundary lying in two parallel horiz…