3 citations · 3 across the 3 of their papers we have counts for
4 papers
Mean curvature flow in homology and foliations of hyperbolic -manifolds
Marco A. M. Guaraco, Vanderson Lima, Franco Vargas Pallete
We study global aspects of the mean curvature flow of non-separating hypersurfaces in closed manifolds. For instance, if has non-vanishing mean curvature, we show its level…
Ground states of semilinear elliptic equations
Rayssa Caju, Pedro Gaspar, Marco A. M. Guaraco +1
We study solutions of , where the potential can have an arbitrary number of wells at arbitrary heights, including bottomless wells with subcritical decay. In our…
The Weyl Law for the phase transition spectrum and density of limit interfaces
Pedro Gaspar, Marco A. M. Guaraco
We prove a Weyl Law for the phase transition spectrum based on the techniques of Liokumovich-Marques-Neves. As an application we give phase transition adaptations of the proofs of…
Min-max for phase transitions and the existence of embedded minimal hypersurfaces
Marco A. M. Guaraco
Strong parallels can be drawn between the theory of minimal hypersurfaces and the theory of phase transitions. Borrowing ideas from the former we extend recent results on the regul…