2 papers
math.AP2022
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…
math.DG2018
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…