Dado um domínio B compacto e convexo suave em Rn + 1, denote por ∂ B e int B a fronteira e o interior de B, respectivamente. Uma hipersuperfície de limite livre CMC em B é uma hipersuperfície de curvatura média constante ...

In this paper we will prove that for every integer $n and gt;1$, there exists a real number $H_0-2\pi$, then, $H$ can be realized as the mean curvature of an embedding of $H^{n-1}\times S^1$ in the $(n+1)$-dimensional space ...

In this work, we will study the result obtained by Ezequiel Barbosa which states that if B is a ball in a Euclidean space (...), with dimension (...), then the stable CMC hypersurface free boundary (...) suit (...), where ...

For all N >= 9, we find smooth entire epigraphs in R-N, namely, smooth domains of the form Omega := {x is an element of R-N broken vertical bar X-N broken vertical bar > F(X-1, . . . , X-N-1)}, which are not half-spaces ...

O tema principal da tese ´e o estudo da geometria diferencial em espa¸cos (nor mados ou) de Minkowski. A tese est´a dividida em duas partes: (I) Alguns tópicos em geometria diferencial de espaços normados; e (II) Estabilidade ...

For all N >= 9, we find smooth entire epigraphs in R-N, namely, smooth domains of the form Omega := {x is an element of R-N broken vertical bar X-N broken vertical bar > F(X-1, . . . , X-N-1)}, which are not half-spaces ...

In this thesis we explored the compact, orientable and CMC free boundary submanifolds (...) with (...), where (...) is a euclidean ball (...) or an annulus (...), where p is a smooth radial function in (...). Thus, we ...

The first direct detection of gravitational waves, recently obtained in the LIGO detectors, opened a new window on the Universe. But in addition, considering the role that numerical relativity plays in the making of waveforms ...