5 papers
On the non-parabolicity of
Leonardo Bonorino, Giovanni Nunes, Álvaro Ramos +3
We prove that , the isometry group of the Minkowski plane, is non parabolic with respect to any left invariant metric.
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…
On the critical points of the energy functional on vector fields of a Riemannian manifold
Giovanni Nunes, Jaime Ripoll
Given a compact Lie subgroup of the isometry group of a compact Riemannian manifold with a Riemannian connection it is introduced a symmetrization process of…
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…
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.