3 papers
math.DG2017
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…
math.DG2015
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…
math.DG2011
Energy and volume of vector fields on spherical domains
Fabiano G. B. Brito, André Gomes, Giovanni S. Nunes
We present in this paper a \boundary version" for theorems about minimality of volume and energy functionals on a spherical domain of threedimensional Euclidean sphere.