We study problems of existence and uniqueness of constant mean curvature surfaces with prescribed boundary satisfying the bounded slope condition. The surfaces are given as Euclidean graphs in R3 and as parabolic graphs ...

In this work we presented some existence results about constant mean curvature surfaces in R³ with prescribed boundary in parallel planes, topologically an annulus, that are obtained by solving Dirichlet s problems for ...

Un flujo geométrico consiste en encontrar soluciones de ecuaciones parabólicas en derivadas parciales que involucran cantidades geométricas de dos o más variedades dadas. En el caso de los flujos geométricos extrínsecos, ...

Neste trabalho, estudamos superfícies tipo-espaço imersas no espaço de Lorentz-Heisenberg tridimensional que possuem curvatura média constante nula, denominadas superfícies máximas. Mostramos que a aplicação de Gauss de ...