3 citations · 12 across the 8 of their papers we have counts for
10 papers
Eigenvalue problems and free boundary minimal surfaces in spherical caps
Vanderson Lima, Ana Menezes
Given a compact surface with boundary, we introduce a family of functionals on the space of its Riemannian metrics, defined via eigenvalues of a Steklov-type problem. We prove that…
A two-piece property for free boundary minimal hypersurfaces in the -dimensional ball
Vanderson Lima, Ana Menezes
We prove that every hyperplane passing through the origin in $\rr^{n+1}$ divides an embedded compact free boundary minimal hypersurface of the euclidean -ball in exactly two…
Slab Theorem and Halfspace Theorem for constant mean curvature surfaces in
Laurent Hauswirth, Ana Menezes, Magdalena Rodriguez
We prove that a properly embedded annular end of a surface in with constant mean curvature can not be contained in any horizontal…
A two-piece property for free boundary minimal surfaces in the ball
Vanderson Lima, Ana Menezes
We prove that every plane passing through the origin divides an embedded compact free boundary minimal surface of the euclidean -ball in exactly two connected surfaces. We also…
On the asymptotic Plateau problem for area minimizing surfaces in
Patrícia Klaser, Ana Menezes, Álvaro Ramos
We prove some existence and non-existence results for complete area minimizing surfaces in the homogeneous space . As one of our main results, we present sufficie…
The Dirichlet problem for the constant mean curvature equation in Sol_3
Patricia Klaser, Ana Menezes
A version of the Jenkins-Serrin theorem for the existence of CMC graphs over bounded domains with infinite boundary data in Sol is proved. Moreover, we construct examples of ad…
On the characterization of minimal surfaces with finite total curvature in and
Laurent Hauswirth, Ana Menezes, Magdalena Rodríguez
It is known that a complete immersed minimal surface with finite total curvature in is proper, has finite topology and each one of its ends is asymptot…
Periodic minimal surfaces in semidirect products
Ana Menezes
In this paper we prove existence of complete minimal surfaces in some metric semidirect products. These surfaces are similar to the doubly and singly periodic Scherk minimal surfac…
A half-space theorem for ideal Scherk graphs in
Ana Menezes
We prove a half-space theorem for an ideal Scherk graph over a polygonal domain where is a Hadamard surface whose curvature is bounded…
On doubly periodic minimal surfaces in with finite total curvature in the quotient space
Laurent Hauswirth, Ana Menezes
In this paper we develop the theory of properly immersed minimal surfaces in the quotient space where is a subgroup of isometries generated by a…