40 citations · 41 across the 3 of their papers we have counts for
7 papers
Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary
Sergio Almaraz, Shaodong Wang
We study the Yamabe equation in the Euclidean half-space. We prove that any sign-changing solution has at least twice the energy of a standard bubble. Moreover, a sharper energy lo…
Mass, center of mass and isoperimetry in asymptotically flat -manifolds
Sergio Almaraz, Levi Lopes de Lima
We revisit the interplay between the mass, the center of mass and the large scale behavior of certain isoperimetric quotients in the setting of asymptotically flat -manifolds (b…
Spacetime positive mass theorems for initial data sets with noncompact boundary
Sergio Almaraz, Levi Lopes de Lima, Luciano Mari
In this paper, we define an energy-momentum vector at the spatial infinity of either asymptotically flat or asymptotically hyperbolic initial data sets carrying a non-compact bound…
The mass of an asymptotically hyperbolic manifold with a noncompact boundary
Sergio Almaraz, Levi Lopes de Lima
We define a mass-type invariant for asymptotically hyperbolic manifolds with a noncompact boundary which are modelled at infinity on the hyperbolic half-space and prove a sharp pos…
A compactness theorem for scalar-flat metrics on 3-manifolds with boundary
Sergio Almaraz, Olivaine S. de Queiroz, Shaodong Wang
Let (M,g) be a compact Riemannian three-dimensional manifold with boundary. We prove the compactness of the set of scalar-flat metrics which are in the conformal class of g and hav…
Rigidity on an eigenvalue problem with mixed boundary condition
Sergio Almaraz, Ezequiel Barbosa
We prove an Obata-type rigidity result for the spherical cap and apply it for an eigenvalue problem with mixed boundary condition.