10 citations · 20 across the 11 of their papers we have counts for
19 papers
First eigenvalue of the Laplacian on compact surfaces for large genera
Antonio Ros
For any Riemannian metric on a compact surface of genus , Yang and Yau proved that the normalized first eigenvalue of the Laplacian is bounded in te…
On the first eigenvalue of the laplacian on compact surfaces of genus three
Antonio Ros
For any compact riemannian surface of genus three Yang and Yau proved that the product of the first eigenvalue of the Laplacian and the area is…
Index one minimal surfaces in positively curved -manifolds
Antonio Ros
We construct a Riemannian metric of positive sectional curvature on the -dimensional projective space with a two-sided closed embedded minimal surface of genus , index an…
The embedded Calabi-Yau conjecture for finite genus
William H. Meeks, Joaquin Perez, Antonio Ros
Suppose is a complete, embedded minimal surface in with an infinite number of ends, finite genus and compact boundary. We prove that the simple limit ends of …
Constant mean curvature spheres in homogeneous three-manifolds
William H. Meeks, Pablo Mira, Joaquin Perez +1
We prove that two spheres of the same constant mean curvature in an arbitrary homogeneous three-manifold only differ by an ambient isometry, and we determine the values of the mean…
Solutions to overdetermined elliptic problems in nontrivial exterior domains
Antonio Ros, David Ruiz, Pieralberto Sicbaldi
In this paper we construct nontrivial exterior domains , for all , such that the problem $$\left\{ {ll} -Δu +u -u^p=0,\ u >0 & \mbox{in }\; Ω, {1mm]…